3. Verify whether the following are zeroes of the polynomial, indicated against them.
(i) \(p(x)=3x+1\), \(x=-{1\over 3}\)
(ii) \(p(x)=5x-\pi\), \(x={4\over 5}\)
(iii) \(p(x)=x^2-1\), \(x=1, -1\)
(iv) \(p(x)=(x+1)(x-2)\), \(x=-1, 2\)
(v) \(p(x)=x^2\), \(x=0\)
(vi) \(p(x)=lx+m\), \(x=-{m\over l}\)
(vii) \(p(x)=3x^2-1\), \(x=-{1\over{\sqrt 3}},{2\over {\sqrt 3}}\)
(viii) \(p(x)=2x+1\), \(x={1\over 2}\)
Class 9
Polynomials
Exercise 2.2
1. Find the value of the polynomial \(5x-4x^2+3\) at
2. Find p(0), p(1) and p(2) for each of the following polynomials:
3. Verify whether the following are zeroes of the polynomial, indicated against them.
(i) \(p(x)=3x+1\), \(x=-{1\over 3}\)
(ii) \(p(x)=5x-\pi\), \(x={4\over 5}\)
(iii) \(p(x)=x^2-1\), \(x=1, -1\)
(iv) \(p(x)=(x+1)(x-2)\), \(x=-1, 2\)
(vi) \(p(x)=lx+m\), \(x=-{m\over l}\)
(vii) \(p(x)=3x^2-1\), \(x=-{1\over{\sqrt 3}},{2\over {\sqrt 3}}\)
(viii) \(p(x)=2x+1\), \(x={1\over 2}\)
4. Find the zero of the polynomial in each of the following cases: