If 2x3 – 2x2 – 2x – 5 is divided by x + 1, then the remainder is

1.	If 2x3 – 2x2 – 2x – 5 is divided by x + 1, then the remainder is A) 0B) -7 C) 6 D) -6
Answer» Correct option is (B) -7 Let \(p(x)=2x^3-2x^2-2x-5\) When p(x) is divided by (x+1), then it leaves remainder p(-1). Now, p(-1) \(=2(-1)^3-2(-1)^2-2\times-1-5\) = -2 - 2 + 2 - 5 = -7 \(\therefore\) If \(2x^3-2x^2-2x-5\) is divided by (x+1), then the leaving remainder is -7. Correct option is B) -7

If 2x3 – 2x2 – 2x – 5 is divided by x + 1, then the remainder is A) 0B) -7 C) 6 D) -6

Answer»

Correct option is (B) -7

Let \(p(x)=2x^3-2x^2-2x-5\)

When p(x) is divided by (x+1), then it leaves remainder p(-1).

Now, p(-1) \(=2(-1)^3-2(-1)^2-2\times-1-5\)

= -2 - 2 + 2 - 5 = -7

\(\therefore\) If \(2x^3-2x^2-2x-5\) is divided by (x+1), then the leaving remainder is -7.

Correct option is B) -7