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

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