Question

P(x) = (2x-1)Q(x) determin the trominal Q(x)

Answer 1

Answer:

p(x)=2x

3

+x

2

−2x−1,g(x)=x+1

g(x)=0⇒x+1=0⇒x=−1

∴ Zero of g(x) is −1

Now, p(−1)=2(−1)

3

+(−1)

2

−2(−1)−1

=−2+1+2−1=0

∴ By factor theorem, g(x) is a factor of p(x).