Question

Complete the following activity to verify that (x - 2) is a factor of (x-x-4)
P(x) = Divisor=
P(x) = =
P(2) = 0
by factor theorem, (x + 2) is a factor of (x-x-4)​

Answer 1

Answer:

Here,

p(x)=x

4

−x

3

+x−1 and q(x)=x+1 ⇒ x=−1

Then,

p(−1)=(−1)

4

−(−1)

3

+(−1)−1

p(−1)=1+1−1−1=0

So, by Factor theorem, q(x)=x+1 is factor of p(x)=x

4

−x

3

+x−1.