tinfoQ

2021-06-04

Find the value of p from the polynomial ${x}^{2}+3x+p$ if one of the zeroes of the polynomial is 2

Gennenzip

Step 1
Given
${x}^{2}+3x+p$...(1)
Step 2
Finding the value of p
One of the zeroes of the polynomial is 2
W.K.T
if $\alpha$ is a zero of the polynomial p(x), then $p\left(\alpha \right)=0$
Substituting
$x=2$ in (1)
${x}^{2}+3x+p$
${2}^{2}+3\left(2\right)+p=0$
$4+6+p=0$
$p=-10$
$\therefore p=-10$

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