ICSE Class 10 Factorization of Polynomials — Mock Test (2027)
Free online mock test for Factorization of Polynomials (ICSE Class 10 Mathematics) — 20 competency-based questions based on the latest CISCE 2027 syllabus, with instant marking. Try the samples below, then take the full test free.
What to expect: This mock test covers key concepts from the Factorization of Polynomials chapter — including application-based and competency-focused questions aligned with how ICSE actually sets the paper.
Tip: Attempt without notes first to identify gaps, then review explanations for any wrong answers. Retake after a few days for best retention.
Sample questions
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1.For what value of $a$ is the polynomial $(2x^3 + ax^2 + 11x + a + 3)$ exactly divisible by $(2x - 1)$?
- A.$a = 7$
- B.$a = -7$
- C.$a = 14$
- D.$a = -14$
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2.Find $a$ if the two polynomials $ax^3 + 3x^2 - 9$ and $2x^3 + 4x + a$ leave the same remainder when divided by $x + 3$.
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3.What is the remainder obtained on dividing $f(x) = 6x^{3} - 3x^{2} - 8x + 7$ by $x - 2$?
- A.-37
- B.27
- C.37
- D.-27
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4.Using the factor theorem, it is found that $(x - 4)$ is a factor of the polynomial $2x^3 + x^2 - 26x - 40$. Which of the following represents the complete factorization of the polynomial?
- A.$(x - 4)(x + 2)(2x + 5)$
- B.$(x - 4)(2x^2 + 9x + 10)$
- C.$(x - 4)(x + 5)(2x - 2)$
- D.$(x - 4)(2x^2 - 7x - 10)$
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5.What must be subtracted from the polynomial $x^{3} + x^{2} - 2x + 1$, so that the result is exactly divisible by $(x - 3)$?
- A.-31
- B.-30
- C.30
- D.31
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