Question

Let p(x) = 4x -3x + 2x +2x + 5 and q(x) = x + 2x + 4 find p(x) - q(x).​

Answer 1

Step-by-step explanation:

Let p(x)=x3−4x2−2x+20

By factor theorem, (x+2) is a factor of p(x) if p(−2)=0.

∴ It is sufficient to show that (x+2) is a factor of p(x)

Now, p(x)=x3−4x2−2x+20

∴p(−2)=(−2)3−4(−2)2−2(−2)+20=−8−16+4+20=0

∴(x+2) is a factor of p(x)=x3−4x2−2x+20