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.Using the remainder and factor theorem, which of the following is the complete factorization of the polynomial $x^{3} + 10x^{2} - 37x + 26$?
- A.$(x - 1)(x - 2)(x + 13)$
- B.$(x + 1)(x - 2)(x + 13)$
- C.$(x - 1)(x + 2)(x - 13)$
- D.$(x + 1)(x + 2)(x - 13)$
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3.Find the remainder when $x^{2} - 8x + 4$ is divided by $2x + 1$.
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4.Without actual division, what is the remainder when the polynomial $p(x) = 2x^3 - 5x^2 + 3x - 10$ is divided by $(x - 3)$?
- A.5
- B.8
- C.-7
- D.12
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5.Find the number that must be subtracted from the polynomial $3y^3 + y^2 - 22y + 15$, so that the resulting polynomial is completely divisible by $y + 3$.
- A.3
- B.9
- C.-9
- D.6
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