#### Algebra Two Marks Questions

9th Standard

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Maths

Time : 00:45:00 Hrs
Total Marks : 30
15 x 2 = 30
1. Find the Zeros of the following polynomials. f(x) = 3x – 5

2. Find the roots of the following polynomial equations: 5x – 3 = 0

3. Find the zeros of the polynomial in each of the following: p(x) = 2x+5.

4. Find the zeros of the polynomial in each of the following: q(y) = 2y-3.

5. Find the roots of the polynomial equations: 9x – 4 = 0

6. Verify whether the following are zeros of the polynomial indicated against them, or not.
p(x) =2x - 1, x = $\frac { 1 }{ 2 }$

7. Divide x3-4x2+6x by x, where,  x≠0

8. Find the number of zeros of the following polynomials represented by their graphs.

9. By remainder theorem, find the remainder when, p(x) is divided by g(x) where
p(x)=x3-3x2+4x+50 g(x)=x-3

10. Subtract 5x2 - 4y2 + 6y - 3 from 7x2 - 4xy + 5y2 + 5x - 3y.

11. Find the quotient and the remainder when 5x5 - 13x4 - 15x2 - 20 is divided by x- 3

12. Twice the area of a right angled triangle 15x2 + 19x + 6 sq. units. If its altitude is 5x + 3 units, find its base in terms of x.

13. Factorise the following : 25m-2-16n2

14. Factorise the following : x- 9x2

15. Factorise the following : 64m+ 27n3