The value of p for which the polynomial x 3 + 4 x 2 – p x + 8 is exactly divisible by ( x – 2 ) is:
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Answer:
answer is 16
Step-by-step explanation:
p(x)=x^2+4x^2-px+8 is divisible exactly by (x-2)
x=2 is zero of p(x)
hence p(2)=0
2^3+4×2^2-p×2+8=0
8+16+2p+8=0
2p=32
p=32/2
p=16
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