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# Use the Remainder Theorem to Find Which of the Following is a Factor of 2x3 + 3x2 – 5x – 6. X + 2 - Mathematics

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#### Question

Use the Remainder Theorem to find which of the following is a factor of 2x3 + 3x2 – 5x – 6.

x + 2

#### Solution

By remainder theorem we know that when a polynomial f (x) is divided by x – a, then the remainder is f(a).
Let f(x) = 2x3 + 3x2 – 5x – 6

f(-2)=2(-2)^3(-2)^2-5(-2)-6

=-16+12+10-6=0`

Thus, (x + 2) is a factor of the polynomial f(x).

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