Question

If p, q are zeroes of polynomial f(x) = 2x2 -7x+3, find the value of p 2+q 2 .

Answer 1

Hey

Here is your answer,

2x^2 -7x +3 =0

Sum of zeroes = -b/a
p+q = 7/2

Product of zeroes = c/a
Pq = 3/2

p^2 + q^2 = (p+q)^2 -2pq
= (7/2)^2 - 2 x 3/2
= 49/4 -3
= 49-12/4
=37/4

Hope it helps you!