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What is the remainder when f(x) = x³- 13x² + 40x + 18 is divided by x-7? Show your work.

Sagot :

Answer:

remainder = 4

Step-by-step explanation:

using the remainder theorem

when f(x) is divided by (x - a) then the remainder is f(a)

so when f(x) is divided by (x - 7) the remainder is f(7) , that is

f(7) = 7³ - 13(7)² + 40(7) + 18

      = 343 - 13(49) + 280 + 18

      = 343 - 637 + 298

      = 4

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The answer to your question is Remainder = 4
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