Gujarat BoardEnglish MediumSTD 9MathsPolynomials1 Mark
MCQ
When p(x) = x3 - 3x2 + 4x + 32 is divided by (x + a), the remainder is:
A
4
B
0
C
36
D
32
✓
Answer
4 Solution: x + 2 = 0 ⇒ x = -2 By the remainder theorem, we know that when p(x) is divided by (x + 2), the remainder is p(-2). Now, we have: p(-2) = (-2)3 - 3 × (-2)2 + 4 × (-2) + 32 = -8 - 12 - 8 + 32 = 4
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