Question

2. Use the Factor Theorem to determine whether g(x) is a factor of p(x) in each of the following cases:

(i) p(x)= 2x³+ x²- 2x-1, g(x)=x+1
(ii) p( x)= x³+3x²+3x+1, g(x)=x+2
(iii) p( x) = x³-4x²+x+6, g(x)=x-3​

Answer 1

Step-by-step explanation:

1)x= -1

2(-1)³+(-1)²-2(-1)-1

-2+1+2-1=0

2)x= -2

(-2)³+3(-2)²+3(-2)+1

-8+3(4)-6+1

-8+12-6+1= -1

3)x= 3

(3)³-4(3)²+(3)+6

27-4(9)+3+6

27-36+9=0