Q. 25

# When p(x) = x<sup

We have,

x3 - 3x2 + 4x + 32

Let, p (x) = x3 - 3x2 + 4x + 32

And, x + 2 = 0

x = - 2

It is given that, (x + 2) is a factor of p (x) so the remainder is equal to p (- 2)

p (- 2) = (- 2)3 - 3 (- 2)2 + 4 (- 2) + 32

= - 8 - 12 – 8 + 32

= - 28 + 32

= 4

Hence, option D is correct

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