Class Ix Polynomial Test
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The factorization of 6x2 + 11x + 3 is:
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3x + 1) (2x + 3)
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(x + 1) (2x + 3)
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(x + 3) (2x + 1)
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(3x + 3) (x + 1)
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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.
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- 2.
√12 X √15 is equal to:
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5√6
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6√5
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10√5
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√25
Correct Answer
A. 6√5Explanation
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.Rate this question:
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- 3.
The value of the polynomial 7x4 + 3x2 - 4, when x = - 2 is:
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100
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110
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120
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130
Correct Answer
A. 120Explanation
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.Rate this question:
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- 4.
What is the degree of a zero polynomial?
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0
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1
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Any natural number
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Not defined
Correct Answer
A. Not definedExplanation
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.Rate this question:
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- 5.
If x + 1 is a factor of the polynomial 2x2 + kx, then the value of k is:
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-3
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4
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2
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-2
Correct Answer
A. 2Explanation
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.Rate this question:
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- 6.
If p + q+ r = 0, then p3 + q3 + r3 is equal to
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0
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3abc
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2abc
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Abc
Correct Answer
A. 3abcExplanation
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.Rate this question:
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Current Version
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Feb 20, 2025Quiz Edited by
ProProfs Editorial Team -
Apr 22, 2020Quiz Created by
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