Let and . Which of the following statements about the sums of their zeros is…

MATHEMATICS · Single correct · AoPS · Mathematics · Quadratic Equations - Part 1 · Quadratic Equations - Part 1

Problem

Let

p(x)=2x^2+5x-3

and

q(x)=-3x^2+4x+1

. Which of the following statements about the sums of their zeros is correct? (a) The sum of zeros of

p(x)

is greater than that of

q(x)

. (b) The sum of zeros of

p(x)

is less than that of

q(x)

. (c) The sums of zeros of

p(x)

and

q(x)

are equal. (d) The sum of zeros of

p(x)

is positive while that of

q(x)

is negative.