For the polynomial p (x), p ( - 8) = 0. Which of these must be a factor of p (x) ?

Question

Mathematics

Yareli Park

21 August, 23:34

For the polynomial p (x), p ( - 8) = 0. Which of these must be a factor of p (x) ?

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Answers (1)

Know the Answer?

Gary Everett · Answer 1

Answer: x + 8 must be the factor of the given polynomial p (x).

Step-by-step explanation:

Here, p (x) is a polynomial in which p (-8) = 0

By the reminder theorem,

When a polynomial, f (x), is divided by a linear polynomial, x - a, the remainder of that division will be equivalent to f (a).

That is when we divide p (x) by x+8 the reminder is p (-8)

⇒ when we divide p (x) by x+8 the reminder is 0.

Therefore, x+8 is a factor of p (x).