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Polynomials

Polynomials

 

  1. A polynomial of degree 1 is called:
    a) Linear polynomial
    b) Quadratic polynomial
    c) Cubic polynomial
    d) None of these
    Answer: a

  2. A polynomial of degree 2 is called:
    a) Linear polynomial
    b) Quadratic polynomial
    c) Cubic polynomial
    d) None of these
    Answer: b

  3. A polynomial of degree 3 is called:
    a) Linear polynomial
    b) Quadratic polynomial
    c) Cubic polynomial
    d) None of these
    Answer: c

  4. The general form of a quadratic polynomial is:
    a)

    ax+bax + b


    b)

    ax2+bx+cax^2 + bx + c


    c)

    ax3+bx2+cx+dax^3 + bx^2 + cx + d


    d)

    a+bx+cx2a + bx + cx^2


    Answer: b

  5. The general form of a cubic polynomial is:
    a)

    ax+bax + b


    b)

    ax2+bx+cax^2 + bx + c


    c)

    ax3+bx2+cx+dax^3 + bx^2 + cx + d


    d) None of these
    Answer: c

  6. If

    p(x)=x2−3x−4p(x) = x^2 – 3x – 4

    , what is

    p(2)p(2)

    ?
    a) -6
    b) 0
    c) 6
    d) 8
    Answer: a

  7. For

    p(x)=x2−3x−4p(x) = x^2 – 3x – 4

    , the zeroes of the polynomial are:
    a) -1, 4
    b) -4, 1
    c) 0, 4
    d) -2, 3
    Answer: a

  8. A polynomial is said to be linear if its graph is:
    a) A parabola
    b) A circle
    c) A straight line
    d) None of these
    Answer: c

  9. The number of zeroes of a quadratic polynomial is:
    a) At most 1
    b) At most 2
    c) At most 3
    d) None of these
    Answer: b

  10. The graph of

    y=x2−3x−4y = x^2 – 3x – 4

    cuts the x-axis at:
    a) Two points
    b) One point
    c) No points
    d) Infinite points
    Answer: a

  11. The value of

    p(x)p(x)

     at a given

    x=kx = k

    is found by:
    a) Dividing

    xx

    by

    kk


    b) Replacing

    xx

    with

    kk

    in

    p(x)p(x)


    c) Adding

    xx

    and

    kk


    d) None of these
    Answer: b

  12. If

    p(x)=x2−5x+6p(x) = x^2 – 5x + 6

    , its zeroes are:
    a) 2, 3
    b) -2, -3
    c) 1, 6
    d) None of these
    Answer: a

  13. The relationship between zeroes and coefficients of a quadratic polynomial is:
    a) Sum of zeroes =

    −coefficient of xcoefficient of x2-\frac{\text{coefficient of } x}{\text{coefficient of } x^2}


    b) Product of zeroes =

    constant termcoefficient of x2\frac{\text{constant term}}{\text{coefficient of } x^2}


    c) Both a and b
    d) None of these
    Answer: c

  14. The graph of a quadratic polynomial is called:
    a) Line
    b) Parabola
    c) Hyperbola
    d) Circle
    Answer: b

  15. A cubic polynomial can have at most:
    a) 2 zeroes
    b) 3 zeroes
    c) 4 zeroes
    d) None of these
    Answer: b

  16. The zeroes of the quadratic polynomial

    x2+7x+10x^2 + 7x + 10

    are:
    a) -2, -5
    b) 2, -5
    c) 2, 5
    d) -3, -7
    Answer: a

  17. The zero of the linear polynomial

    2x+32x + 3

     is:
    a) -3
    b)

    32\frac{3}{2}


    c)

    −32-\frac{3}{2}


    d) 2
    Answer: c

  18. For a quadratic polynomial

    x2+px+qx^2 + px + q

    , the product of its zeroes is:
    a)

    qq


    b)

    −q-q


    c)

    −p-p


    d)

    pp


    Answer: a

  19. The sum of the zeroes of the polynomial

    2x2−8x+62x^2 – 8x + 6

     is:
    a) -4
    b) 4
    c) -2
    d) 2
    Answer: c

  20. If the zeroes of a polynomial are equal, its graph:
    a) Cuts the x-axis at two points
    b) Touches the x-axis at one point
    c) Does not touch the x-axis
    d) None of these
    Answer: b

  21. A polynomial of degree 0 is:
    a) Linear polynomial
    b) Constant polynomial
    c) Quadratic polynomial
    d) None of these
    Answer: b

  22. If

    p(x)=x2−5x+6p(x) = x^2 – 5x + 6

    then

    p(1)p(1)

    is:
    a) 2
    b) 0
    c) 6
    d) -6
    Answer: a

  23. The number of zeroes of a linear polynomial is:
    a) 0
    b) 1
    c) 2
    d) Infinite
    Answer: b

  24. For

    x2−7x+12x^2 – 7x + 12

    the sum of zeroes is:
    a) -7
    b) 7
    c) -12
    d) 12
    Answer: b

  25. For the cubic polynomial

    x3−4x2+5x−2x^3 – 4x^2 + 5x – 2

    the product of its zeroes is:
    a) -2
    b) 2
    c) -5
    d) 4
    Answer: a

  26. The graph of a cubic polynomial intersects the x-axis:
    a) At most 2 points
    b) At most 3 points
    c) At most 4 points
    d) At most 5 points
    Answer: b

  27. A quadratic polynomial has:
    a) At most 1 zero
    b) At most 2 zeroes
    c) At most 3 zeroes
    d) Infinite zeroes
    Answer: b

  28. A polynomial of degree 4 can have at most:
    a) 2 zeroes
    b) 3 zeroes
    c) 4 zeroes
    d) Infinite zeroes
    Answer: c

  29. The value of

    p(x)=3x2−2x+4p(x) = 3x^2 – 2x + 4

    at

    x=2x = 2

    is:
    a) 10
    b) 8
    c) 16
    d) 12
    Answer: d

  30. The coefficient of

    x2x^2

    in the polynomial

    2x2−3x+42x^2 – 3x + 4

    is:
    a) 1
    b) 2
    c) -3
    d) 4
    Answer: b

  31. The value of

    p(x)p(x)

    at

    x=0x = 0

    is called:
    a) Coefficient of

    xx


    b) Constant term
    c) Zero of the polynomial
    d) None of these
    Answer: b

  32. The degree of the polynomial

    x3+4x2−x+6x^3 + 4x^2 – x + 6

    is:
    a) 2
    b) 3
    c) 4
    d) 1
    Answer: b

  33. The sum of zeroes of the polynomial

    x2−4x+3x^2 – 4x + 3

    is:
    a) -4
    b) 4
    c) -3
    d) 3
    Answer: b

  34. The value of

    xx

    for which

    p(x)=0p(x) = 0

    is called:
    a) Degree
    b) Coefficient
    c) Zero of the polynomial
    d) Constant term
    Answer: c

  35. A polynomial with exactly two terms is called:
    a) Monomial
    b) Binomial
    c) Trinomial
    d) None of these
    Answer: b

  36. A polynomial that cannot be factored further is called:
    a) Monomial
    b) Irreducible polynomial
    c) Binomial
    d) None of these
    Answer: b

  37. The degree of a non-zero constant polynomial is:
    a) 0
    b) 1
    c) Not defined
    d) Infinite
    Answer: a

  38. If

    x2+px+q=0x^2 + px + q = 0

    then the sum of its zeroes is:
    a)

    pp


    b)

    −p-p


    c)

    −pq-\frac{p}{q}


    d)

    qq


    Answer: b

  39. The product of the zeroes of the polynomial

    x2+4x+3x^2 + 4x + 3

    is:
    a) -3
    b) 3
    c) -4
    d) 4
    Answer: b

  40. The zero of the polynomial

    5x+105x + 10

    is:
    a) 2
    b) -2
    c) -1
    d) 1
    Answer: c

  41. The polynomial

    x3+3x2+3x+1x^3 + 3x^2 + 3x + 1

    is:
    a) Linear
    b) Quadratic
    c) Cubic
    d) Constant
    Answer: c

  42. The graph of a cubic polynomial is:
    a) A straight line
    b) A parabola
    c) A curve
    d) None of these
    Answer: c

  43. A quadratic polynomial with roots

    is:
    a)x2−x−2x^2 – x – 2


    b)

    x2+x−2x^2 + x – 2


    c)

    x2+x+2x^2 + x + 2


    d)

    x2−x+2x^2 – x + 2


    Answer: b

  44. A polynomial with no variable term is called:
    a) Linear polynomial
    b) Constant polynomial
    c) Quadratic polynomial
    d) None of these
    Answer: b

  45. The zeroes of the polynomial

    x2−2x+1x^2 – 2x + 1

    are:
    a) 1, -1
    b) 1, 1
    c) -1, -1
    d) None of these
    Answer: b

  46. A polynomial of degree 2 is also called:
    a) Linear polynomial
    b) Quadratic polynomial
    c) Cubic polynomial
    d) None of these
    Answer: b

  47. The coefficient of x

    in the polynomial 3x2−5x+73x^2 – 5x + 7

    is:
    a) 3
    b) -5
    c) 7
    d) 0
    Answer: b

  48. A polynomial of degree 1 is:
    a) Quadratic polynomial
    b) Linear polynomial
    c) Cubic polynomial
    d) None of these
    Answer: b

  49. The degree of the polynomial

    4x3+3x2+2x+14x^3 + 3x^2 + 2x + 1

    is:
    a) 1
    b) 2
    c) 3
    d) 4
    Answer: c

  50. If

    p(x)=x2+x+1p(x) = x^2 + x + 1

    then is:

    a) 1
    b) 2
    c) 3
    d) 0
    Answer: c

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