Question

use the factor theorem to determine whether g(x) is a factor of p(x) in each of the following cases:

1) p(x) = x³ - 3x² -10x + 24 , g(x) = x-4

2) p(y) = y³ - 4y² + y + 6 , g(y) = y - 3

​

Answer 1

Answer:

Yeah in each of the cases g(x) is a factor of p(x).

Step-by-step explanation:

please mark me brainliest if I am right.

Answer 2

solution

Step-by-step explanation:

P(x)=x

3

+4x

2

+x−6

g(x)=x−3

p(x)=x

3

−4x

2

+x+6

p(3)=(3)

2

−4(3)

2

+3+6

27−4(9)+3+6

=27−36+3+6

=27−36+3+6

36−36

p(3)=0

Here , we have r(x)=p(a)=0

∴(x−3) is the factor of p(x)