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# Use the Remainder Theorem to Find Which of the Following is a Factor of 2x3 + 3x2 – 5x – 6. 2x – 1 - ICSE Class 10 - Mathematics

#### Question

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

2x – 1

#### 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(1/2)=2(1/2)^3+3(1/2)^2-5(1/2)-6

1/4+3/4-5/2-6

-5/2-5=-15/2≠0

Thus, (2x – 1) is not a factor of the polynomial f(x)

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Solution Use the Remainder Theorem to Find Which of the Following is a Factor of 2x3 + 3x2 – 5x – 6. 2x – 1 Concept: Remainder Theorem.
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