Question

what value for K is the polynomial p(x)=2x3-kx2+3x+10 eaxctly divided by (x-2)

Answer 1

Answer

x - 2 = 0

=> x = 2

p(x) = 2x^3 - kx^2 + 3x + 10

p(2) = 2(2)^3 - k(2)^2 + 3(2) + 10 = 0

=> 16 - 4k + 6 + 10 = 0

=> 4k = 32

=> k = 8