Class 9, Maths, Chapter 2, Exercise 2.2, Solutions
Q.1. Find the value of the polynomial 5x – 4x2 + 3 at
(i) x = 0
(ii) x = –1
(iii) x = 2
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Q.2. 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)
Ans:
Q.3. Verify whether the following are zeroes of the polynomial, indicated against them.
(i) p(x) = 3x + 1, x = $-\frac{1}{3}$
(ii) p(x) = 5x – 4, x = $\frac{4}{5}$
(iii) p(x) = x2 -1, x = 1, – 1
(iv) p(x)=(x+1)(x-2), x= -1, 2
(v) p(x) = x2, x = 0
(vi) p(x) = lx + m, x = $-\frac{m}{l}$
(vii) p(x) = 3x2 – 1, x = $-\frac{1}{\sqrt{3}},\frac{2}{\sqrt{3}}$
(viii) p(x) = 2x + 1, x = $\frac{1}{2}$
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Q.4. Find the zero of the polynomials in each of the following cases:
(i) p(x) = x + 5
(ii) p(x) = x – 5
(iii) p(x) = 2x + 5
(iv) p(x) = 3x – 2
(v) p(x) = 3x
(vi) p(x) = ax, a ≠ 0
(vii) p(x) = cx + d, c ≠ 0, c, d are real numbers.
Ans:
