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Chapter 5: Q. 484 (page 563)

In the following exercises, use the Remainder Theorem to find the remainder.

f(x)=2x3-6x-24It is divided by x-3.

Short Answer

Expert verified

The remainder is 12.

Step by step solution

01

Step 1. Given information.

The given function is:

f(x)=2x3-6x-24

Divisor is x-3.

02

Step 2. Determine the remainder using Remainder Theorem.

If the polynomial function f(x)is divided by x-c, then the remainder is f(c).

The divisor is x-3. It means c=3.

Evaluate f(3)to find the remainder.

f(3)=2(3)3-6(3)-24=2(27)-18-24=54-42=12

03

Step 3. Conclusion.

The remainder is 12.

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