When polynomial f(x) is divided by (x-1) & (x-2) it leaves remainder 5 & 7 respectively. What's the remainder when f(x) is divided by (x-1)(x-2)?

When polynomial f(x) is divided by (x-1) & (x-2) it leaves remainder 5

1.	When polynomial f(x) is divided by (x-1) & (x-2) it leaves remainder 5 & 7 respectively. What's the remainder when f(x) is divided by (x-1)(x-2)?
Answer» From gvn F(X) is a linear POLYNOMIAL, and (x-1)(x-2) > f(x) so f(x) is the remainder here f(x)= 2x+3 (by using remainder theorem)

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When polynomial f(x) is divided by (x-1) & (x-2) it leaves remainder 5 & 7 respectively. What's the remainder when f(x) is divided by (x-1)(x-2)?

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