Olympiad – Class X – Mathematics - Polynomials

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Question - 1

Which of the following is a cubic polynomial whose zeros are (-1), (-2) and (-3)?

  • A p3 - 6
  • B p3- 6p2 + 6
  • C p3+ 6p2 + 11P + 6
  • D p3 - 6p3 - 11P - 6

Question - 2

2 and (-2) are two zeros of the polynomial 34m4 - 4m + 120. What are the other two zeros of the polynomial?

  • A 5, -6
  • B -5, 6
  • C -5, -6
  • D 5, 6

Question - 3

Find the value of the polynomial p(x) = x2+ 3x - 2 when x = (-1).

  • A -4
  • B 3
  • C 4
  • D 6

Question - 4

For what value of 'm' is one zero of the polynomial (m2 + 9)x2 + 13x + 6m, the reciprocal of the other?

  • A 9
  • B -3
  • C 6
  • D 3

Question - 5

Identify the polynomial whose sum of zeros is (-5) and their product is 6.

  • A x2- 4x - 12
  • B x2+ 4x + 12
  • C x2+ 5x + 6
  • D x2- 5x + 6

Question - 6

α and β are the zeros of a polynomial such that α + β = 6 and αβ= 4. Identify the polynomial. 

  • A x2- 6x + 4
  • B a2+ 6a + 4
  • C p2 + 6p - 4
  • D m2 - 6m - 4

Question - 7

Identify the zeros of the polynomial p(t) = t3 - 3t2 - 10t + 24.

  • A -2, -3, -4
  • B -2, -3,4
  • C 2, -3, 4
  • D 2, -3, -4

Question - 8

What is the quotient when 2m2 - m + 3 is divided by (2 - m) leaving a remainder 9?

  • A -2m + 3
  • B -(2m - 3)
  • C 2m + 3
  • D -(2m + 3)

Question - 9

Choose the cubic polynomial whose zeros are -2, 3 and 5.

  • A p3 - 6p2 - P + 30
  • B x3+ 6x2 - x- 30
  • C x3- 6x2+ x- 30
  • D p3+ 6p2 + P - 30

Question - 10

Choose the zeros of the polynomial 6x2 - 7x - 3.

  • A \(\frac { 1 }{ 3 } ,\frac { -1 }{ 2 } \).
  • B \(\frac { -1 }{ 3 } ,\frac { 3 }{ 2 } \)
  • C \(\\ \frac { -1 }{ 3 } ,\frac { -1 }{ 2 } \).
  • D \(\frac { 1 }{ 3 } .\frac { 1 }{ 2 } \).
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