Question

The cubic polynomial | f(x) = 6x ^ 3 - 7x ^ 2 - 11x + d has a 2 factor (x-1)

(a)Find the value of d
( b )Find the remainder when the polynomial is divided by (x + 2)​

Answer 1

d=12 and the remainder is -42

Explanation:

a.

put x=1 into f(x)

6(1)³-7(1)²-11(1)+d=0

6-7-11+d=0

-12+d=0

d=12

b.

Put x=-2 into the polynomial

6(-2)³-7(-2)²-11(-2)+12

6(-8)-7(4)+22+12

-48-28+22+12

-42