Question: 1. Let's look at dividing a polynomial by a non-factor. If f ( x ) = x 2 + 7 x 5 , and you

1. Let's look at dividing a polynomial by a non-factor. Iff(x)=x2+7x5, and you divide by x - 2, what is the quotient and remainder? (Show your solution)

2. Notice the 2 in our divisor (x - 2) for #1. What isf(2)?

3. Make a conjecture for the Remainder Theorem: If a polynomialf(x) is divided by x k, the remainder is?

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