Question

find k if 3x3+k x 3+5x-16 when divided by x-2 leave remainder -8​

Answer 1

Step-by-step explanation:

p(x)= 3×3+ k×3 + 5x - 16

9+3k-5x-16

g(x)= x-2

x-2=0

x=2

r(x)= -8

p(x) = 9+3k +5x-16

p(2)= 9+ 3k+ 5×2-16

-8 = 9+ 3k + 10- 16

-8=9+3k-6

-8=9-6+3k

-8=3+3k

-8-3=3k

-11=3k

k= -11/3