Question

if zeros of quadratic polynomial 2x²+px+4 is 2 then find the other zero .also find the value of p

Answer 1

Hii friend,

P(X) = 2X²+PX+4

A = 2 , B = P and C = 4
one zero = 2

Let alpha = 2

Therefore,

Product of zeros = (Alpha × Beta) = C/A

2 × Beta =4/2

Beta = 4/2 × 2 = 4/4 = 1

Sum of zeros = (alpha + Beta) = -B/A

2 + 1 = -P/2

3 × 2 = -P

-P = 6

P = 6

HOPE IT WILL HELP YOU..... :-)