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?

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

Answer

5 and -4

Explanation

If the two triangle are congruent then they have the same area.

20 = x² - x

x² - x - 20 = 0

x² - x + (1/2)² = 20 + (1/2)²

(x - 1/2)² = 20.25

x - 1/2 = √20.25

x - 1/2 = 4.5                             or    x - 1/2 = - 4.5

x = 4 1/2 + 1/2                                      x = -4 1/2 + 1/2

   = 5                                                      = -4

The values of x are 5 and -4.