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2. Polynomials and Factorisation
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Q2 of 86 Page 36

Find p(0), p(1) and p(2) for each of the following polynomials.

p(t) = (t - 1) (t + 1)

p(t) = (t - 1) (t + 1)


⇒ p(t) = t2 – 1


⇒ p(0) = (0)2 – 1


⇒ p(0) = 0– 1


⇒ p(0) = -1


And,


⇒ p(1) = (1)2 – 1


⇒ p(1) = 1– 1


⇒ p(1) = 0


And,


⇒ p(2) = (2)2 – 1


⇒ p(2) = 4– 1


⇒ p(2) = 3


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2

Find p(0), p(1) and p(2) for each of the following polynomials.

p(y) = 2 + y + 2y2 - y3

2

Find p(0), p(1) and p(2) for each of the following polynomials.

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Find p(0), p(1) and p(2) for each of the following polynomials.

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3

Verify whether the values of x given in each case are the zeroes of the polynomial or not?

p(x) = 2x + 1;

Questions · 86
2. Polynomials and Factorisation
1 2 3 4 5 6 1 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 6 1 1 1 1 1 2 3 4 5 6 7 8 9 1 1 1 1 2 2 2 2 2 3 4 5 6 7 7 7 7 8 9 10 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5
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