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.What number should be added to $3x^3 - 5x^2 + 6x$ so that when the resulting polynomial is divided by $x - 3$, the remainder is 8?
- A.4
- B.-46
- C.46
- D.-4
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2.Given that $(x + 2)$ and $(x + 3)$ are factors of the polynomial $x^3 + ax + b$, use the factor theorem to determine the completely factorized form of the polynomial.
- A.$(x + 2)(x + 3)(x - 5)$
- B.$(x + 2)(x + 3)(x + 5)$
- C.$(x - 2)(x - 3)(x + 5)$
- D.$(x + 2)(x - 3)(x - 5)$
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3.Using the factor theorem, which of the following is the correct factorisation of the polynomial $2x^3 + 7x^2 - 9$?
- A.$(x + 1)(x - 3)(2x - 3)$
- B.$(x - 1)(x + 3)(2x + 3)$
- C.$(x - 1)(x + 3)(2x - 3)$
- D.$(x + 1)(2x^2 + 5x - 9)$
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4.Using the Remainder Theorem, which of the following is the complete factorisation 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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5.On dividing the polynomial $(ax^3 + 9x^2 + 4x - 10)$ by $(x + 3)$, we get 5 as the remainder. What is the value of $a$?
- A.1
- B.2
- C.3
- D.-2
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