Find p(0), p(1) and p(2) for each of the following polynomials:
(i) $p (y) = y^{2} - y + 1$
(ii) $p (t) = 2 + t + 2 t^{2} - t^{3}$

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Solution

(i)
$p (y) = y^{2} - y + 1 p (0) = 0^{2} - 0 + 1 = 1 p (1) = 1^{2} - 1 + 1 = 1$
$p (2) = 2^{2} - 2 + 1 = 3.$

(ii)
$p (t) = 2 + t + 2 t^{2} - t^{3} p (0) = 2 + 0 + 2 \times 0^{2} - 0^{3} = 2 p (1) = 2 + 1 + 2 \times 1^{2} - 1^{3} = 4$
$p (2) = 2 + 2 + 2 \times 2^{2} - 2^{3} = 4 + 8 - 8 = 4.$

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Similar questions

Find p(0),p(1) and p(2) for each of the following polynomials:
(i) p(y)=y²−y+1
(ii) p(t)=2+t+2t²−t³
(iii) p(x)=x³
(iv) p(x)=(x−1)(x+1)

p (0), p (1)

p (2)

p (y) = y^{2} - y + 1

p (t) = 2 + t + 2 t^{2} - t^{3}

p (x) = x^{3}

p (x) = (x - 1) (x + 1)

p (y) = y^{2} - y + 1

p (t) = 2 + t + 2 t^{2} - t^{3}

p (x) = x^{3}

p (x) = (x - 1) (x + 1)

Find p(0), p(1) and p(2) for each of the following polynomials:
$1) p (y) = y^{2} - y + 1$
$2) p (t) = 2 + t + 2 t^{2} - t^{3}$ [4 MARKS]

p (0), p (1), p (2)

p (t) = 2 + t + 2 t^{2} + t^{3}

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