Q:

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?−5/33/55/3−3/5What is the value of the function at the x-value you selected?

Accepted Solution

A:
Answer:The answer to your question is belowStep-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 questionNow 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