When (x³ + ax² + 3x + 2) is divided by (x+1) the remainder is zero What is the value of a ? *
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Answer:
a=1
Step-by-step explanation:
here x+1 = 0
then x = -1
p(x) = x3 + ax2 + 3x +2
p(-1) = (-1)×3 + a (-1)×2 +3×(-1) +2
p(-1) = -3 - 2a -3 +2
p(-1) = -2a + 2
here, -2a + 2 = 0
2 = 2a
a = 1 (answer)
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