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.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
-
2.Two polynomials $x^3 + 2x^2 - 5ax - 8$ and $x^3 + ax^2 - 12x - 6$ when divided by $(x - 2)$ and $(x - 3)$ leave remainders $p$ and $q$ respectively. If $q - p = 10$, find the value of $a$.
- A.$a = 3$
- B.$a = -3$
- C.$a = 5$
- D.$a = -5$
-
3.Let $R_1$ and $R_2$ are remainders when the polynomials $x^3 + 2x^2 - 5ax - 7$ and $x^3 + ax^2 - 12x + 6$ are divided by $x + 1$ and $x - 2$ respectively. If $2R_1 + R_2 = 6$, find the value of $a$.
-
4.The remainder when $f(x) = x^2 - 5x + 7$ is divided by $x - 1$, is:
- A.3
- B.8
- C.4
- D.12
-
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
Ready? Take the full 20-question test free — instant marking, no sign-up needed.
▶ Start free mock test