Question

Find P(0), P(1) and P(2) for each of the following polynomial.
$p(y) = 2 + y + 2 {y}^{2} - {y}^{3}$​

Answer 1

$\sf \: p(y) = 2 + y + 2y {}^{2} - y {}^{3}$

$\sf \: p(o) = 2 + (o) + 2(o) {}^{2} - (o) {}^{3} = 2 + 0 + 0 - 0 = 2$

$\sf \: p(1) = 2 + (1) + 2(1) {}^{2} - 1 {}^{3} = 2 + 1 + 2 - 1 = 4$

$\sf \: p(2) = 2 + 2 + 2(2) {}^{2} - 2 {}^{3} = 4 + 8 - 8 = 4$