Question

Consider the function f(x)=x3+3x2â51x+91. What is the remainder if f(x) is divided by (x+9)? Do not include (x+9) in your answer.

Answer 1

The remainder is 64

Explanation:

Consider the function
`f(x)=x^3+3x^2-51x+91`

Use synthetic division to divide by x+9

x+9=0, x=-9

divide the given f(x) by -9 using synthetic division

-9 1 3 -51 91

0 -9 54 -27

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1 -6 3 64

The remainder is 64