Term 2 Algebra Book Back Questions

9th Standard

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Maths

Time : 00:45:00 Hrs
Total Marks : 30
5 x 1 = 5
1. If p(a)= 0 then (x-a) is a ___________ of p(x)

(a)

divisor

(b)

quotient

(c)

remainder

(d)

factor

2. Which of the following has x -1 as a factor?

(a)

2x -1

(b)

3x -3

(c)

4x -3

(d)

3x -4

3. If x - 3 is a factor of p(x), then the remainder is

(a)

3

(b)

-3

(c)

p(3)

(d)

p(-3)

4. If (x + 5) and (x - 3) are the factors of ax2+bx+c, then values of a, b and c are

(a)

1,2,3

(b)

1,2,15

(c)

1,2, −15

(d)

1, −2,15

5. Cubic polynomial may have maximum of ___________ linear factors

(a)

1

(b)

2

(c)

3

(d)

4

6. 3 x 2 = 6
7. Expand (a-b+c)2

8. Expand the following: (2x+3y+4z)2

9. Expand the following: (2a-3b+4c)2

10. 3 x 3 = 9
11. Find the area of square whose side length is 3m +2n −4l.

12. Find the quotient and remainder when (3x3-4x2-5) is divided by (3x+1) using synthetic division

13. If the quotient obtained on dividing (8x4-2x2+6x-7) is (4x3+px2-qx+3), then find p, q and also the remainder

14. 2 x 5 = 10
15. Simplify: $\left[ \frac { ({ x }^{ 2 }-{ y }^{ 2 })^{ 3 }+({ y }^{ 2 }-{ z }^{ 2 })^{ 3 }+({ z }^{ 2 }-{ x }^{ 2 })^{ 3 } }{ (x-y)^{ 3 }+(y-z)^{ 3 }+(z-x)^{ 3 } } \right]$ by using identity

16. Factorise 2x2 - 15x - 27