If the polynomials 2x3+ax2+3x−5 and x3+x2−4x+a leave the same remainder when divided by x−2, find the value of a

Question

If the polynomials 2x3+ax2+3x−5 and x3+x2−4x+a leave the same remainder when divided by x−2, find the value of a
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Solution 1

Sure, let's solve this step by step.

Step 1: According to the Remainder Theorem, a polynomial f(x) will leave a remainder of f(c) when divided by (x-c). So, if both polynomials leave the same remainder when divided by (x-2), we can say that they are equal when x = 2.

Step 2: Substitute x = 2 into 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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