Question

Q = Find p (0),p (1)and p (2) for each of the following polynomials:

$p(t) = 2 + t + 2 {t}^{2} + {t}^{3}$
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Answer 1

$p(t) = {t}^{3} + 2 {t}^{2} + t + 2 \\ \\ p(0) = ({0})^{3} + 2 ({0})^{2} + 0 + 2 \\ \: \: \: \: \: \: \: \: \: = 0 + 0 + 0 + 2 \\ \: \: \: \: \: \: \: \: \: = 2 \\ \\ p(1) = ( {1})^{3} + 2 ({1})^{2} + 1 + 2 \\ \: \: \: \: \: \: \: \: \: = 1 + 2 + 1 + 2 \\ \: \: \: \: \: \: \: \: \: = 6 \\ \\ p(2) = ({2})^{3} + 2 ({2})^{2} + 2 + 2 \\ \: \: \: \: \: \: \: \: \: = 8 + 8 + 2 + 2 \\ \: \: \: \: \: \: \: \: \: = 20$

Hope it helps...!!

Answer 2

..................hope it helps u.................