Without actually finding p(5), find whether (x–5) is a factor of p (x) = x3 – 7x2 +16x – 12. Justify your answer.

Question

Without actually finding p(5), find whether (x–5) is a factor of p (x) = x3 – 7x2 +16x – 12. Justify your answer.
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Solution 1

To determine if (x-5) is a factor of the polynomial p(x) = x³ - 7x² + 16x - 12, we can use the Factor Theorem. The Factor Theorem states that a polynomial f(x) has a factor (x - k) if and only if f(k) = 0.

In this case, we want to find out if (x - 5) is a factor of the polynomial, so we substitute Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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