Question

If x-2 divides p(x) evenly, which statement must be true?

Answer 1

If x - 2 divides p(x) evenly, the statement that is correct is; p(2) = 0

How to carry out division of quadratic functions?

We know that a factor of a polynomial completely divides that polynomial without any remainder.

For example, we want to divide the polynomial x² - 2x - 8 by (x + 2). This means that for it to be completely divisible, then f(-2) must be equal to zero. Thus, let us check it;

f(-2) = (-2)² - 2(-2) - 8

f(-2) = 4 + 4 - 8

f(-2) = 0

Now, we are told that x - 2 divides p(x) evenly. Thus, this means that;

p(2) = 0

Read more about Division of quadratic functions at; brainly.com/question/17057112

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