If kx³+9x²+4x-8 is divide by x+3 then the remainder is -20. find the value of k
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sorry I don't know sorry
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Answer:
Given p(x) = kx^3 + 9x^2 +4x - 8
Given g(x) = x + 3.
By the remainder theorem, we get
= > x + 3 = 0
= > x = -3.
plug x = -3 in p(x), we get
= > k(-3)^3 + 9(-3)^2 +4(-3) - 8= -20
= > -27k + 81 - 12 - 8 = -20
= > -27k + 61 = -20
= > -27k = -81
= > k = 3.
Therefore the value of k = 3
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