Question

By the Remainder Theorem, what can be said about the polynomial function z(x)if z(−6)=3?

Answer 1

Answer:

The remainder must be   3  

when z(x) is divided by  (x+6)  

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Explanation:

The remainder theorem says that if you divide p(x) over (x-k), then the remainder is r = p(k)

Now if z(-6) = 3, then we can see that k = -6 and r = 3.

So we'll divide z(x) over x-k = x-(-6) = x+6 to get some quotient and then a remainder of r = 3.