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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## p and q are the roots of the equation x^2+ax+b=0. What is an tagged by: Max@Math Revolution ##### This topic has 1 expert reply and 0 member replies ### GMAT/MBA Expert ## p and q are the roots of the equation x^2+ax+b=0. What is an ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult [GMAT math practice question] p and q are the roots of the equation x^2+ax+b=0. What is an expression for p^2q + pq^2 in terms of a and b? A. ab B. -ab C. a^2b D. ab^2 E. a^2b^2 _________________ Math Revolution Finish GMAT Quant Section with 10 minutes to spare. The one-and-only Worldâ€™s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. Only$149 for 3 month Online Course
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If p and q are roots of the quadratic equation x^2 + ax + b = 0, then the quadratic equation can be written as (x-p)(x-q) = 0 or x^2 -(p+q)x + pq = 0.
Thus, p + q = -a and pq = b.
So,
p^2q + pq^2 = pq(p+q) = b*(-a) = -ab

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