Question

1. Find the value of m if (x-1) exactly divides the polynomial, m2x2 + 3mx – 3m –1.

2. Given (x + 2) is a factor of the polynomial f(x) = 3x3 + ax2 + 4x + b and it leaves a remainder of -5 when divided by (x + 3) , find the value of a and b.

Answer 1

Answer:

m=(-2)

Step-by-step explanation:

x-2=0-->x=2

2x³-x²-3mx-24=0

2(2)³-(2)²-3(2)m-24=0

16-4-6m-24=0

16-24-4-6m=0

(-12)-6m=0

(-6m)=12

m=(-12)/6

m=(-2)