Question

If p, q are the zeroes of the polynomial x2 - 5x + 6, then p2 +q2 =
A) 25
B) 49
C) 13
D) 24​

Answer 1

Step-by-step explanation:

x²-5x+6=0

x²-3x-2x+6=0

x(x-3)-2(x-3)=0

(x-3)(x-2)=0

x=3 and x=4

if p=3 and q=2 then

p²+q²= 3²+2²= 9+4 =13