Question

1.
Determine whether g(x)is a factor of f(x)
i) f(x)= x^3 - 3x² + 4x -4, g(x)= x - 2
ii) f(x)=2x^3 +4x+6, g(x)= x+1

Answer 1

Answer:

i.x³-3x²+4x-4

Step-by-step explanation:

(2)³-3(2)²+4(2)-4=0

(8)-12+8-4=0

16-12-4=0

4-4=0

0=0 ,x-2 is a factor

ii.2x³+4x+6

2(-1)³+4(-1)+6

(-2)-4+6

-6+6=0,x+1 is factor