Question #129737
A reminder factor theorem find the value of k if on dividing 2 x cube + 3 x square minus kx + 5 by x minus 2 leaves a remainder 7
Expert's answer
When f(x) is divided by x-2, the remainder is 7.
Therefore, using remainder factor theorem, f(2)=7
f(2) = 2(2)3 + 3(2)2- k(2) + 5
7 = 16 + 12 - 2k + 5
7 = 33 - 2k
-2k= -26
k = 13
