R.D. Sharma Solutions Class 9th: Ch 6 Factorization of Polynomials Exercise 6.2

Exercise 6.2

1. If f(x) = 2x³-13x²+17x+12, find

(i) f(2)

(ii) f(-3)

(iii) f(0)

Solution

2. Verify whether the indicated numbers are zeros of the polynomials corresponding to them in the following cases:

(i) f(x) = 3x+1, x=-1/3

(ii) f(x) = x²-1, x=1,-1

(iii) g(x) = 3x²-2, x=2/√3, -2/√3

(iv) p(x) = x³-6x²+11x-6, x=1,2,3

(v) f(x) =5x-π, x=4/5

(vi) f(x) = x², x =0

(vii) f(x) = lx+m, x=m/1

(viii) f(x) = 2x+1, x=1/2

Solution

3. If x=2 is a root of the polynomial f(x) =2x²-3x+7a, find the value of a.

Solution

4. If x=-1/2 is a zero of the polynomial p(x) = 8x²-ax²+2, find the value of a.

Solution

5. If x=0 and x=-1 are the roots of the polynomial f(x) = 2x³-3x²+ax+b, find the value of a and b.

Solution

6. Find the integral roots of the polynomial f(x) = x³+6x²+11x+6

Solution

7. Find rational of the polynomial f(x) = 2x³+x²-7x-6

Solution