Name: lana
Who are you: Parent

If p and q are the roots of 2X^2 +3X+7=0, compute pq^3+qp^3.
thanks for your help .


Hi Lana,

There are expressions for finding the sum of the roots and the product of the roots that your son or daughter probably knows. Thus you can find p + p and pq. The expression you want is

pq3 + qp3 = pq(q2 + p2)

Can you see how to find q2 + p2 if you know pq and p + q?