Question

Find one of the factors of the polynomial p(x) if 5 is one of the zeroes of the polynomial.

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Answer 1

Answer:

(x-5) is one of the factor of polynomial p(x).

Answer 2

One of the factors of the polynomial p(x) if 5 is one of the zeroes of the polynomial is x - 5

Given :

5 is one of the zeroes of the polynomial

To find :

One of the factors of the polynomial p(x)

Solution :

Step 1 of 2 :

State Factor Theorem

Related to given problem Factor Theorem states that , if p(x) be a polynomial then x - a is a factor of p(x) if and only if p(a) = 0

Step 2 of 2 :

Find the factor

Here it is given that 5 is one of the zeroes of the polynomial

Hence by the Factor Theorem one of the factors of the polynomial p(x) is x - 5

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