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

Answer:

The answer to your question is below

Step-by-step 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