given that x-1 and x+2 are factors of x^4 -x^3+px^2-11x+q :

Question

a)find the value of p and the value of q.

b)when p and q have these values , factorise x^4-x^3+px^2-11x+q completely.

Answer 1

p=-19

q=30

x^4 -x^3 -19x^2 -11x + 30

= (x-1)(x+2)(x-5)(x+3)