Question

Find the remainder if x3

-13x2 + 13x + 5 is divided by x-2.​

Answer 1

Answer:

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Answer 2

Let p(x) = x³ - 6x² + 13x + 60

and g(x) = x + 2

By remainder theorem,

p(x) is divided by (x + 2) then the remainder is p(-2).

p(-2) = (-2)³ - 6(-2)² + 13(-2) + 60

p(-2) = -8 - 24 - 26 + 60

p(-2) = -58 + 60

p(-2) = 2

Hence, remainder is 2.