Polynomial question (1 Viewer)

Catberry

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How would I approach a question like this?

He polynomial p(x) leaves a. Remainder of 9 when divided by x=2 nada. Remainder of 4 when divided by x=3. Find the remainder when P(x) is divided by (x-2)(x-3)

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We can write a polynomial in the form

(division transformation)

What is when we divide by and ? Use these to infer information about when its divided by . What is the maximum degree of the remainder when divided by ?
 

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