explain how it to use linear factors to determine the equation of a polynomial function

Answers

Answer 1
Since linear factors can be written as (x-a)*(x-b) with a and b as the solutions, we can do it in two ways. First, we can use the quadratic equation. In an equation ax²+bx+c=0, the solutions are
[tex]x= \frac{-b+- \sqrt{ b^{2}-4*a*c} }{2*a} [/tex] with the +- meaning that you can have one solution (a) by adding and (b) by subtracting.

Next, in ax²+bx+c=0, we want to add b up to have dx+zx=bx as well as (d*z)=(c*a). For example, in 6x²+2x-4, we have 6*-4=-24. We have to find 2 numbers that add up to 2 but multiply to 24 - -4 and 6 work. Therefore, we have 6x²+6x-4x-4. Factoring it out, we have 6x(x+1)-4(x+1). Since x+1 is the same in both, we have the equation being (6x-4)(x+1) as the factorization

Related Questions

The dance committee has 1036 flowers.They want to divide the flowers evenly among 28 centerpieces.How many flowers will be in each centerpiece? A 28 B 34 C 37 D 40

Answers

C 37 is the answer I got! Hope this helps!
All you have to do is divide 1036 by 28

1036/28=37

So the answer is C. 37

Beth bought a T-shirt for $14.98 and a pair of shorts for $23.59. How much did Beth spend?

Answers

You have to add
14.98 + 23.59 = 38.57

Answer:

38.57

Step-by-step explanation:

Me. Driscoll has 9 reports to grade. There are 6 page for each report. He grades 12 pages. How many pages does he still have to grade?

Answers

so easy

so driscoll has 9 reports to grade and each page has 6 pages.

just multiply 9 and 6 which gives you your answer 54.

so out of 54, he has graded only 12 pages which means that you need to subtract.

[tex]54-12=42[/tex]

driscoll has 42 pages left to grade.

you can recheck your answer by adding 42 ans 12 which gives your answer as 54. so yup our answer is right. 
Woops, new to this. As I was trying to say, it is actually really simple if you try to figure it out. The answer is 42.

I need to know all of these

Answers

1.) 5
2.) 2
3.) u - 17
4.) 7
5.) x + 6
I hope this helps love! :)
1 ) 10 - 5 = 5
2)  14 / 7 = 2
3)  u - 17
4) 1/2 (14) = 7
5) x + 6

What is the sum of -7/18 and -3/6
a.) -4/9
b.) - 8/9
c.) 4/9
d.) 8/9

Answers

Answer:

-b) -8/9

Step-by-step explanation:


Answer:

The correct Answer is B.) -8/9

Step-by-step explanation:

HAVE AN AMAZING DAY!!

the line parallel to 3x + y = 8 that passes through (0, -4)

Answers

y=-3x+8

y+4=-3(x-0)

y+4=-3x+0

y=-3x-4 is the answer

A passenger train has 15 cars that each hold the same number of passengers. The train is filled with 1,020 passengers. How many passengers does each car hold?

Enter M for multiplication or D for division.

Answers

What you use is D and the answer to it is 68 passengers

Division - Basically it's just =

1,020 D 15 = 68

Multiply: 2 4/5 x -5 2/3

Answers

-15  13/15 sorry you dont have a calculator by the way

On two tests so far this year, a student received a 78 and a 93. The student wants an average between 80 and 90 inclusive. What are all of the possible scores for the third test so that the student falls within this average?

Answers

240 <= 171 + x <= 270
and now subtract 171 from all and get
69 <= x <= 99
So any score from 69 to 99 will do.

Which expression equals -(9x + 8) - 2(x -5)

Answers

-(9x + 8) - 2(x -5)
= -9x - 8 - 2x + 10
= -11x + 2
It is 5.5440 that is your answer

Polynomial Or Not a polynomial?

1) x4+3x3−5x2−7x+20
2) x3−2x2+x−12
3) x2+3x5−6x+12x3
4) x−3−x−2−6x−1+84x√3−x√−20
5) 4x√3−x√−20
6) 5x3−1x2+8x−40

Select "P" for Polynomial and Select "NP" for Not a Polynomial when answering

Answers

1,2,3 is a Polynomial. Because its able to be solved. 4,5,6 isn't a polynomial Because the exponent has 20 and or 40 so it wont be solved. Hope I Can Help!!

2/5ab What are the factors of the expression? Drag all of the factors of the expression into the box. Factors −1 2 5 2 5 a b

Answers

2/5, a, and b that is the answer

factor out the coefficient of the variable 1/4 y + 3/8

Answers

1/4 ( y + 1/8)
was 2/8 but simplified.

is xy=6 a linear equation

Answers

That equation is a linear equation
This equation isn’t a linear equation.

In 2007, the population of North America was approximately 5.15 x 10^8 people and the population of South America was approximately 3.04 x 10^8 people. What is the combined population of North and South America for this year?
A) 8.19 x 10^16 people
B) 8.19 x 10^9 people
C) 8.19 x 10^8 people
D) 8.19 x 10^64 people

Answers

C) 8.19 x 10^8 people 
c) 8.19 x 10^8 people is the answer 

What are the domain and range of the function?

X Y
-2 -8
-1 -1
0 0
1 1
2 8
3 27

Answers:
A.
Domain: {0, 1, 2, 3, 8, 27}; Range: {–8, –2, –1}
B.
Domain: {–2, –1, 0, 1, 2, 3}; Range: {–8, –1, 0, 1, 8, 27}
C.
Domain: {–2, –1, 0, 1, 8, 27}; Range: {–8, –1, 0, 1, 2, 3}
D.
Domain: {–8, –1, 0, 1, 8, 27}; Range: {–2, –1, 0, 1, 2, 3}

Answers

the answer would be B

Which ordered pairs lie on the graph of the exponential function f(x)=4(5)^2x

select each correct answer:

(-1,4/25)

(0,0)

(1,4)

(2,2500)

Answers

The ordered pairs [tex]\left(-1, \frac{4}{25}\right)[/tex] and [tex](2,2500)[/tex] lie on the graph of the exponential function.

The quickest approach consists in evaluating the function at each value of [tex]x[/tex] to determine if the resulting value of [tex]y[/tex] coincide with the value given in statement.

x = -1

[tex]f(-1) = 4\cdot 5^{2\cdot (-1)}[/tex]

[tex]f(-1) = \frac{4}{25}[/tex]

The resulting value coincides with the value given in statement.

x = 0

[tex]f(0) = 4\cdot 5^{2\cdot (0)}[/tex]

[tex]f(0) = 4[/tex]

The resulting value does not coincide with the value given in statement.

x = 1

[tex]f(1) = 4\cdot 5^{2\cdot (1)}[/tex]

[tex]f(1) = 100[/tex]

The resulting value does not coincide with the value given in statement.

x = 2

[tex]f(2) = 4\cdot 5^{2\cdot (2)}[/tex]

[tex]f(2) = 2500[/tex]

The resulting value coincides with the value given in statement.

To learn more on exponential functions, we kindly invite to check this verified question: https://brainly.com/question/2456547

The ordered pairs (-1, 4/25) and (2, 2500) lie on the graph of the exponential function f(x) = 4 × (5)^(2x), while (0, 0) and (1, 4) do not.

To determine which ordered pairs lie on the graph of the exponential function f(x) = 4 × (5)^(2x), we can substitute the given x-values into the function and check if the resulting y-values match the given coordinates.

For the point (-1, 4/25):

f(-1) = 4 × (5)^(2(-1)) = 4 × 1/25 = 4/25

This matches the given coordinate, so (-1, 4/25) is on the graph.

For the point (0, 0):

f(0) = 4 × (5)^(2 × 0) = 4 × 1 = 4

This doesn't match the given coordinate, so (0, 0) is not on the graph.

For the point (1, 4):

f(1) = 4 × (5)^(2 × 1) = 4 × 25 = 100

This doesn't match the given coordinate, so (1, 4) is not on the graph.

For the point (2, 2500):

f(2) = 4 × (5)^(2 × 2) = 4 × 625 = 2500

This matches the given coordinate, so (2, 2500) is on the graph.

For more such information on: ordered pairs

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What is 5 units away from (-1, -2)

Answers

Answer:


Step-by-step explanation:

There's a whole family of points.

(x + 1)^2 + (y + 2)^2= 25

The above is an equation that represents a circle.

Three points are marked below 2 of which are easily seen to be 5 units away from the center (-1,-2)

Please help me please. What is the slope of a line perpendicular to the line whose equation is 5x-2y=11?

Answers

-2/5 would be the slope

slope is y = mx+ b

-2y = -5x + 11

-2y/-2 = (-5x + 11)/-2

y = 5/2x - 5.5

hope this helps

Dallison cooked a 5-pound roast for supper. What is the estimated mass in grams

Answers

Estimated mass in grams is 2240 grams 

Find the take-home percent of the gross pay: net pay $453.10, gross pay$734

50%

16%

162%

62%

Answers

453.10/734 = .617% * 100 = 61.7% --> 62%

D. 62%

Answer:

Option D. 62%

Step-by-step explanation:

Net pay = $453.10

Gross pay = $734.00

We have to find the take-home percent of the gross pay.

We will divide net pay by gross pay and multiply by 100.

Percent of the gross pay =  [tex]\frac{453.10}{734}\times 100[/tex]

                                         = 0.617302452 × 100

                                         = 61.73 ≈ 62%

The take-home percent of the gross pay would be 62%.

What is the least common denominator (LCD) for these fractions? 2/7 and 9/10

Answers

Rewriting input as fractions if necessary:
2/7, 9/10

For the denominators (7, 10) the least common multiple (LCM) is 70.

Therefore, the least common denominator (LCD) is 70.

Rewriting the original inputs as equivalent fractions with the LCD:
20/70, 63/70

The required least common denominator for the fraction is 70.

Given that,
To determine the least common denominator for the fractions 2/7 and 9/10.

What is the least common denominator?

The least common denominator has defined the factor that is least common among the factors of the denominator is called the least common denominator.

What is the greatest common factor?

The greatest common factor is defined as a group of the set of numbers that is the most considerable and greatest factor that all the numbers include of.

Here,

For the fraction, 2 / 7 and 9 / 10
the denominators are 7 and 10
Now lowest common multiple of 7 and 10 is given as ,
7 * 10 = 70

Thus, the required least common denominator for the fraction is 70.

Learn more about grates common factors here: https://brainly.com/question/11221202
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Perform the following calculation: (–16) – (–42)

Answers

That equals, positive 26
 - 16+42 which is 26
hope it helped

Dev knows he only has 8 gallons of gasoline in the tank he wants to go on a 300-mile trip will he have to buy more gasoline?

Answers

no he will not have to buy more gasoline

Denise finished the race in 5.93 minutes.If Tara took 4.6 times as long to finish the race, how many minutes did it take her to finish?

Answers

So like Texa said. 4.6 * 5.93 = 27.278.
So we are now gonna round the 7 in 27.278.
The 7 in the tenth place.
Look next door 5 or more raise the score.....
So the 7 will become a 8 and you can erase the other 8.
So your answer is!
27.28
4.6 * 5.93 = 27.278 rounds to 27.28 minutes

Which pair represents equivalent ratios? 2/3 or 9/15

Answers

2/3. I think this is right. 

what is -3x + b = 6x . Solve for x

Answers

The answer is x = b/9
-3x+b=6x add 3x to both sides
B=9x den divide 9 to both sides b/9=x hope this helps have a nice nite!

-2(v+5)-4v

use the distributive property to simplify.

PLS help!

Answers

Distributing:

-2(v+5) - 4v
-2v - 10 - 4v

Combining like terms:

-6v - 10

Hope this helps!

Denny rode his bicycle miles in the morning. Then he rode miles in the afternoon. How far did he ride his bicycle altogether?

Answers

How many miles did he ride each time?? Just add them up

The currency in Argentina is the Peso. The exchange rate is approximately $3 = 1 Peso. At this rate, how many Pesos would you get if you exchanged $121.10?

Answers

3dollars/1=121.10dollars/x
3x=121.10
x=40.67

The answer is 40.67 dollars

Hope this helps
Final answer:

The Pesos you would get if you exchanged $121.10 using an exchange rate of $3 = 1 Peso, you can set up a proportion and solve for x.

Explanation:

To calculate how many Pesos you would get if you exchanged $121.10 at an exchange rate of $3 = 1 Peso, you can set up a proportion:

$3 / 1 Peso = $121.10 / x Pesos

Cross multiply to solve for x:

$3 * x = $121.10 * 1

x = $363.30

Therefore, you would get 363.30 Pesos if you exchanged $121.10 at the given exchange rate.

Learn more about Exchange rate here:

https://brainly.com/question/34627038

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