If 2x^3 – 2x^2 – 2x – 5 is divided by x + 1, then the remainder is
If 2x3 – 2x2 – 2x – 5 is divided by x + 1, then the remainder is
A) 0
B) -7
C) 6
D) -6
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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.
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