Question

what is the value of ‘k’
if 4xcube minus 2 x square plus kx plus 5 leaves remainder minus10 when divided by 2x plus 1​

Answer 1

Answer:

k=2

Step-by-step explanation:

f(x)= 4x^3 - 2x^2 +kx+5

2x+1=0

therefore x= -1/2

f(-1/2)= -10

4(-1/2*-1/2*-1/2) - 2*(-1/2*-1/2) + k*(-1/2)+5= -10

-4/8 - 2/4 -k/2 = -15

-1/2-1/2-k/2 = -15

2+k = 30

therefore;

k=28