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
-
1.What should be subtracted from $3x^3 - 8x^2 + 4x - 3$, so that the resulting expression has $x + 2$ as a factor?
- A.-67
- B.15
- C.-15
- D.67
-
2.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
-
3.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
-
4.$x^2 + 2x^2 - 5ax - 8$ and $x^3 + ax^2 - 12x - 6$ when divided by $(x - 2)$ and $(x - 3)$ leave remainder $p$ and $q$ respectively. If $q - p = 10$, find the value of $a$.
-
5.If both $(x - 2)$ and $(x - \frac{1}{2})$ are the factors of $px^2 + 5x + r$, then:
- A.$p = r$
- B.$p = 2r$
- C.$2p = r$
- D.$p = r + 2$
Ready? Take the full 20-question test free — instant marking, no sign-up needed.
▶ Start free mock test