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 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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2.Without actual division, find the remainder when the polynomial $p(x) = 8x^3 - 16x^2 + 14x - 5$ is divided by $(2x - 1)$. What is the value of the remainder?
- A.-1
- B.1
- C.0
- D.-3
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3.What number should be added to $3x^3 - 5x^2 + 6x$ so that when resulting polynomial is divided by $x - 3$, the remainder is 8?
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4.Given that $(x + 2)$ and $(x + 4)$ are the factors of $3x^3 + ax^2 - 6x - b$. The values of $a$ and $b$ respectively are:
- A.4, 7
- B.7, 4
- C.13, 40
- D.40, 13
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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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