Class Ix Polynomial Test

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| By Hitanshu Kapoor
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Hitanshu Kapoor
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  • 1/6 Questions

    The factorization of 6x2 + 11x + 3 is:

    • 3x + 1) (2x + 3)
    • (x + 1) (2x + 3)
    • (x + 3) (2x + 1)
    • (3x + 3) (x + 1)
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About This Quiz

This CLASS IX POLYNOMIAL TEST assesses knowledge in polynomial factorization, simplifying radicals, evaluating polynomials, and understanding polynomial degrees. It is designed for Class IX students to enhance their algebraic skills and prepare for advanced mathematical concepts.

Class Ix Polynomial Test - Quiz

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  • 2. 

    The value of the polynomial 7x4 + 3x2 - 4, when x = - 2 is:

    • 100

    • 110

    • 120

    • 130

    Correct Answer
    A. 120
    Explanation
    When we substitute x = -2 into the given polynomial, we get 7(-2)^4 + 3(-2)^2 - 4. Simplifying this expression, we have 7(16) + 3(4) - 4, which equals 112 + 12 - 4 = 120. Therefore, the value of the polynomial when x = -2 is 120.

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  • 3. 

    √12 X √15 is equal to:

    • 5√6

    • 6√5

    • 10√5

    • √25

    Correct Answer
    A. 6√5
    Explanation
    When multiplying square roots, you can simply multiply the numbers inside the square roots and keep the square root symbol. In this case, √12 multiplied by √15 equals √180. Simplifying further, you can break down 180 into its prime factors: 2 x 2 x 3 x 3 x 5. Taking out pairs of the same number, we are left with 2 x 3 x √5, which can be simplified to 6√5. Therefore, the correct answer is 6√5.

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  • 4. 

     If x + 1 is a factor of the polynomial 2x2 + kx, then the value of k is:

    • -3

    • 4

    • 2

    • -2

    Correct Answer
    A. 2
    Explanation
    If x + 1 is a factor of the polynomial 2x^2 + kx, it means that when x = -1, the polynomial will equal to zero. Substituting -1 into the polynomial, we get 2(-1)^2 + k(-1) = 0. Simplifying this equation, we get 2 - k = 0, which means k = 2. Therefore, the value of k is 2.

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  • 5. 

    If p + q+ r = 0, then p3 + q3 + r3 is equal to

    • 0

    • 3abc

    • 2abc

    • Abc

    Correct Answer
    A. 3abc
    Explanation
    When p + q + r = 0, it means that the sum of p, q, and r is equal to zero. This can be rearranged as p = -q - r. When we substitute this value of p into the expression p^3 + q^3 + r^3, we get (-q - r)^3 + q^3 + r^3. Simplifying this expression, we get -3q^2r - 3qr^2. Factoring out a -3qr from this expression, we get -3qr(q + r). Since q + r is equal to -p, we can further simplify the expression to -3qr(-p). This is equal to 3pqr, which can be written as 3abc. Therefore, the correct answer is 3abc.

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  • 6. 

    What is the degree of a zero polynomial?

    • 0

    • 1

    • Any natural number

    • Not defined

    Correct Answer
    A. Not defined
    Explanation
    The degree of a polynomial is defined as the highest power of the variable in the polynomial. However, a zero polynomial is a polynomial in which all the coefficients are zero. Since there are no terms with non-zero coefficients in a zero polynomial, it does not have a highest power or degree. Therefore, the degree of a zero polynomial is not defined.

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  • Current Version
  • Feb 20, 2025
    Quiz Edited by
    ProProfs Editorial Team
  • Apr 22, 2020
    Quiz Created by
    Hitanshu Kapoor
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