Question

if x= -2 is a zero of the quadratic polynomial 2x2-5x +p then find the value of p

Answer 1

$2( - 2) {}^{2} - 5( - 2) + p \\ 8 + 10 + p = 0 \\ 18 + p = 0 \\ p = - 18$
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Answer 2

x=-2

p(x)=2x^2-5x+p=0 《as x+2 is a factor of p(x)》

p(x)=2(-2)^2-5(-2)+p=0

p(x)=8+10+p=0

p(x)=18+p=0

p=-18