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Polynomials Test - 7

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Polynomials Test - 7
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Weekly Quiz Competition
  • Question 1
    1 / -0

    Which of the following expressions represents the remainder when x3 + 2x - 3 is divided by x + 1?

    Solution

    When p(x) = x3 + 2x - 3 is divided by x + 1,
    the remainder = p(-1)
    So, p(-1) = (-1)3 + 2(-1) - 3
    = - 1 - 2 - 3 = - 6

     

  • Question 2
    1 / -0

    On dividing x4 + x3 + 2x2 + 3 by a polynomial g(x), we get the quotient x2 + x + 7 and the remainder is 5x + 38. The polynomial g(x) is ______.

  • Question 3
    1 / -0

    Which of the following expressions is the standard form of the polynomial (x + 2) (x – 1)?

    Solution

    The polynomial (x + 2) (x – 1)
    = x2 + 2x – x – 2
    Standard form = x2 + x – 2

     

  • Question 4
    1 / -0

    Which of the following expressions is the expanded form of (3x + 4y + 5z)2?

    Solution

    Expanded form of (3x + 4y + 5z)2
    = 9x2 + 16y2 + 25z2 + 24xy + 40yz + 30xz
    = 9x2 + 16y2 + 25z2 + 24xy + 30xz + 40yz

     

  • Question 5
    1 / -0

    One of the zeroes of the polynomial 2x2 + x – 1 is – 1. Which of the following options is the other zero?

    Solution

    The polynomial 2x2 + x – 1 can be factorised as 2x2 + x – 1 = 2x2 + 2x – x – 1 = 2x (x + 1) – 1 (x + 1) = (2x – 1) (x + 1)  x =  and x = – 1 Therefore, x =  is the other zero of the polynomial.

     

  • Question 6
    1 / -0

    Which of the following expressions is the standard form of the polynomial x4?

    Solution

    The standard form of x4
    = x4 + 0x3 + 0x2 + 0x + 0

     

  • Question 7
    1 / -0

    Which of the following expressions represents the remainder when x4 + x3 + 2x2 + 3x is divided by x2 + x?

    Solution

    On dividing x4 + x3 + 2x2 + 3x by x2 + x,

    we get Remainder = x

     

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