Find the value of k if p(x)=kx^3+9x^2+4x-10 is divided by (x-3)
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hope it helps , I think question is incomplete you have not given any information about remainder so I have assumed r(x)=0
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Given p(x) = kx^3 + 9x^2 - 4x - 10.
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) - 10 = -22
= > 27k + 81 - 12 - 10 = -22
= > 27k + 59 = -22
= > 27k = -81
= > k = -3.
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