Question

Using long division find the remainder when the polynomial ( 3x2 + x - 1 ) is divided by (x - 2)​

Answer 1

Step-by-step explanation:

Given that, the polynomial p(x)=−x+3x

2

−1 is divided by (x+1).

To find out: The remainder.

According to the remainder theorem, the remainder of the division of a polynomial f(x) by a linear polynomial (x−a) is f(a).

Here a=−1

∴ Remainder is p(−1)

⇒p(−1)=−(−1)+3(−1)

2

−1=1+3−1=3

Hence, the remainder when p(x) is divided by (x+1) is 3.

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