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 x3 + 6x2 + kx + 6 is exactly divisible by (x + 2), then k= ?

    (a)

    -6

    (b)

    -7

    (c)

    -8

    (d)

    11

  2. The type of the polynomial 4–3x3 is

    (a)

    constant polynomial

    (b)

    linear polynomial

    (c)

    quadratic polynomial

    (d)

    cubic polynomial.

  3. The sum of the polynomials p(x) = x3 – x2 – 2, q(x) = x2–3x+ 1

    (a)

    x3 – 3x – 1

    (b)

    x3 + 2x2 – 1

    (c)

    x3 – 2x2 – 3x

    (d)

    x3 – 2x2 + 3x –1

  4. The remainder when p(x) = x3 – ax2 + 6x – a is divided by (x – a) is

    (a)

    –5a

    (b)

    \(\frac {1}{5}\)

    (c)

    5

    (d)

    5a

  5. Degree of the polynomial (y3–2)(y3 + 1) is

    (a)

    9

    (b)

    2

    (c)

    3

    (d)

    6

  6. 3 x 2 = 6
  7. Which of the following expressions are polynomials. If not give reason: \({ m }^{ 2 }-\sqrt [ 3 ]{ m } +7m-10\)

  8. Find the Zeros of the following polynomials. f(x) = 2x + 1

  9. If p(x) = x2– 2\(\sqrt { 2 }\)x +1, find p(2\(\sqrt { 2 }\)) .

  10. 3 x 3 = 9
  11. Let p(x) =4x2-3x+2x3+5 and q(x)=x2+2x+4 find p(x)+q(x)

  12. Rewrite the following polynomial in standard form.
    \(\sqrt { 2 } x^{ 2 }-\frac { 7 }{ 2 } { x }^{ 4 }+x-5{ x }^{ 3 }\)

  13. What should be added to 2x3+6x2-5x+8 to get 3x3 -2x2+6x+15?

  14. 2 x 5 = 10
  15. Classify the following polynomials based on number of terms.

  16. If two polynomials 2x3 + ax2 + 4x – 12 and x3 + x2 –2x+ a leave the same remainder when divided by (x – 3), find the value of a and also find the remainder.

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