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.Find the value of 'a' if the division of $ax^3 + 9x^2 + 4x - 10$ by $x + 3$ leaves a remainder of 5.
- A.2
- B.-2
- C.6
- D.-6
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2.Find the number which should be added to $x^2 + x + 3$ so that the resulting polynomial is completely divisible by $(x + 3)$.
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3.Find the value of $m$, if $mx^3 + 2x^2 - 3$ and $x^2 - mx + 4$ leave the same remainder when each is divided by $x - 2$.
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4.Using the factor theorem, which of the following is the correct factorization of the polynomial $6x^3 - 7x^2 - 11x + 12$?
- A.$(x - 1)(2x + 3)(3x - 4)$
- B.$(x - 1)(2x - 3)(3x + 4)$
- C.$(x + 1)(2x - 3)(3x + 4)$
- D.$(x - 1)(6x^2 - x - 12)$
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5.Use the factor theorem to determine which of the following statements is true for any odd positive integer $n$.
- A.$x + a$ is a factor of $x^n + a^n$
- B.$x - a$ is a factor of $x^n + a^n$
- C.$x + a$ is a factor of $x^n - a^n$
- D.$x - a$ is a factor of $x^n - a^n$
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