Question

Factorise 2x³+3x²-5x-6 using remainder theorem
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Answer 1

Answer:

From remainder theorem we know that when a polynomial f(x) is divided by x–a, then the remainder is f(a).

Here, f(x)=2x

3

+3x

2

–5x–6

f(−1)=2(−1)

3

+3(−1)2–5(−1)–6=−2+3+5–6=0

⇒ Remainder is zero for x=−1

Therefore, (x+1) is a factor of the polynomial f(x).

Step-by-step explanation:

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