Answer to Question #129737 in Algebra for Akhilesh

Question

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

Answer 1

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