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.The remainder when $f(x) = x^2 - 5x + 7$ is divided by $x - 1$, is:
- A.3
- B.8
- C.4
- D.12
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2.Determine which of the following statements is true regarding the factor $(p + 1)$ for the polynomials $(p^{100} - 1)$ and $(p^{101} - 1)$.
- A.$(p + 1)$ is a factor of both $(p^{100} - 1)$ and $(p^{101} - 1)$.
- B.$(p + 1)$ is a factor of $(p^{100} - 1)$ but not of $(p^{101} - 1)$.
- C.$(p + 1)$ is a factor of $(p^{101} - 1)$ but not of $(p^{100} - 1)$.
- D.$(p + 1)$ is not a factor of either $(p^{100} - 1)$ or $(p^{101} - 1)$.
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3.If a polynomial $2x^{2} - 7x - 1$ is divided by $x + 3$, then the remainder is:
- A.-4
- B.38
- C.-3
- D.2
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4.If the polynomials $kx^{3} - 7x^{2} + 7x - 2$ and $x^{3} - 2kx^{2} + 8x - 8$ leave the same remainder when divided by $x - 2$, then the value of $k$ is:
- A.-1
- B.1
- C.-2
- D.2
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5.Use the factor theorem to factorise the expression $2x^{3} + x^{2} - 13x + 6$. Which of the following is the correct factorisation?
- A.$(x - 2)(2x - 1)(x + 3)$
- B.$(x + 2)(2x - 1)(x - 3)$
- C.$(x - 2)(2x + 1)(x - 3)$
- D.$(x + 2)(2x + 1)(x + 3)$
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