Question

Given p(x)=3x5+2x2−5, Alonso wants to find out whether 3x+5 is a factor. Which value of x should he evaluate for p(x) to determine the answer?

−5/3
3/5
5/3
−3/5

What is the value of the function at the x-value you selected?

Answer 1

The answer to your question is below

Explanation:

To answer this question just clear x from the divisor.

3x + 5 = 0

3x + 5 - 5 = 0 - 5

3x = -5

3x/3 = -5/3

x = - 5/3 First question

Now evaluate the function at x = - 5/3

p(-5/3) = 3(-5/3)⁵ + 2(-5/3)² - 5

p(-5/3) = 3(-3125/243) + 2(25/9) - 5

p(-5/3) = 3(-12.86) + 5.56 - 5

p(-5/3) = -38.58 + 5.56 - 5

p(-5/3) = -38.02 Second question