Question

Find the value of p(2) + p(-2) for the polynomial x^2-3x+1
PLS NO PAMMERS PLSSSSSSSSS POINTS ARE COSTLY

Answer 1

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Answer 2

$\displaystyle\huge\green {\underline{\underline{Solution}}}$

GIVEN

$p(x) = {x}^{2} - 3x + 1$

TO DETERMINE

$p(2) + p( - 2)$

EVALUATION

$p(x) = {x}^{2} - 3x + 1 \: \: ..........(1)$

So in order to find p(2) we put 2 in place of x in both sides of (1)

$p(2) = {2}^{2} - (3 \times 2) + 1 = 4 - 6 + 1 = - 1$

Now in order to find p(2) we put - 2 in place of x in both sides of (1)

$p( - 2) = {( - 2)}^{2} - 3 \times ( - 2) + 1 = 4 + 6 + 1 = 11$

Hence

$p(2) + p( - 2) = - 1 + 11 = 10$

RESULT

$\red{ \fbox{p(2) + p( - 2) = 10}}$