kx³+8x²-4x+10 divided by (x+1) leaves the remainder -3, then the value of k
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Answer:
-21
Step-by-step explanation:
p(x) = kx^3 + 8x^2 - 4x + 10
The factor of (x+1) = -1
p(-1) = k(-1)^3 + 8(-1)^2 - 4(-1) + 10 = 0
= -1k + 8 + 4 +10 = 0
= 8 + 4 + 10 = 1k
= 22. = 1k
= k. = 1 - 22
= k. = -21
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