What is the scale factor?

Find the remainder for the quotient using either substitution or synthetic division.

zaharov [31]

(x - 5) is a factor of the polynomial function f(x) = x³ - x² - 17x -15 as there is no remaider.

<h3>What is a factor of a polynomial?</h3>

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given a polynomial function f(x) = x³ - x² - 17x -15.

If (x - 5) is it's factor then f(5) = 0.

∴ f(x) = x³ - x² - 17x -15.

f(5) = 5³ - 5² - 17(5) - 15.

f(5) = 125 - 25 - 85 - 15.

f(5) = 0.

So, the remainder is zero hence (x - 5) is a factor of the polynomial function f(x) = x³ - x² - 17x -15.

learn more about factor of a polynomial here :

brainly.com/question/26354419

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7 0

1 year ago

Suppose a horticulturist measures the aboveground height growth rate of four different ornamental shrub species grown in a green

torisob [31]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The decision is to reject the null hypothesis at a significant level of significance $\alpha = 0.05$ There is sufficient evidence to conclude that at least one of the population mean is different from at least of the population

Step-by-step explanation:

From the question we are told that the claim is

The mean growth rates of all four species are equal.

The null hypothesis is

$H_o : \mu _1 = \mu_2 = \mu_3 = \mu_4$

Th alternative hypothesis is

$H_a: at \ least \ one \ of \ the \ means \ is \not\ equal$

From question the p-value is $p-value = 0.015$

And since the $p-value < \alpha$ so the null hypothesis will be rejected

So

The decision is to reject the null hypothesis at a significant level of significance $\alpha = 0.05$ There is sufficient evidence to conclude that at least one of the population mean is different from at least of the population

7 0

2 years ago

Linda is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.

MA_775_DIABLO [31]

Answer: as company A charges a fix amount $93 for any distance and company B charges variable amount starting from $65.there will be a certain mileage after that the amount charged by company B should be greater than company A.

let for greater than m mileage company A will

charge less than company B.

charge for company A for m mileage= $93

charge for company B for m mileage= $65 + $0.70*m

so,

93 ≤ 65+0.70*m

93-65 ≤ 65+0.70*m -65

28 ≤ 0.70*m

28*10 ≤ 7 *m

280 ≤ 7m

280/7 ≤ 7m/7

40 ≤ m

Ans: greater than 40 mileage Company A will charge less than Company B

Step-by-step explanation:

5 0

2 years ago

Isaac and Paul shared some baseball cards in the ratio 2:5. If Paul gave 30 cards to Isaac, they would have the same number of c

avanturin [10]

Answer:

20-

Step-by-step explanation:

3 parts=30 cards thus 2 parts: 20

5 0

2 years ago

Find the exact area of the shaded rejion sector and triangle with an angle of 120 and radius of 24

Marianna [84]

I would do 1/2 base* height pi and the cross out pi and divide 120 by 12 and your answer is :10...im not for sure but hopefully it helped.

3 0

2 years ago