Question

if 2 is a zero of polynomial of 2 x2 + px-14 then find the value of p

Answer 1

As 2 is a zero of the polynomial, x=2 satisfies the equation $2x^{2}+px-14=0 \\ \implies 2 (2)^{2}+p (2)-14=0 \\ \implies (2 \times 4)+2p=14 \\ \implies 8+2p=14 \\ \implies 2p=6\\ \implies p=3$