Vidaara.orgClass 9 · Mathematics
CodeVID-M09-18-TRN-01
Trinomials & Difference of Squares - Assignment
Name: ____________________
Roll No.: __________
Date: ____________
General Instructions
- All questions are compulsory.
- Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
- Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions
5 × 1 = 5 marks
1.
$a^2-b^2=$
- A.$(a+b)(a-b)$
- B.$(a-b)^2$
- C.$(a+b)^2$
- D.$a^2+b^2$
2.
$x^2+5x+6=$
- A.$(x+2)(x+3)$
- B.$(x+1)(x+6)$
- C.$(x-2)(x-3)$
- D.$(x+5)(x+1)$
3.
$x^2-9=$
- A.$(x-3)^2$
- B.$(x+3)(x-3)$
- C.$(x+9)(x-1)$
- D.$(x-9)(x+1)$
4.
$x^2-7x+12=$
- A.$(x-3)(x-4)$
- B.$(x+3)(x+4)$
- C.$(x-2)(x-6)$
- D.$(x-1)(x-12)$
5.
For $x^2+bx+c$, the two numbers have product:
- A.$b$
- B.$c$
- C.$bc$
- D.$b+c$
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Factorise $x^2-16$.
7.
Factorise $x^2+7x+10$.
8.
Factorise $x^2-5x+6$.
9.
Factorise $4x^2-25$.
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Factorise $x^2+x-12$.
11.
Factorise $2x^2+7x+3$.
12.
Factorise $9x^2-16y^2$.
13.
Factorise $x^2-10x+21$.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
Factorise $6x^2+11x-10$.
15.
Factorise $49x^2-81y^2$ and $x^2-2x-15$.
Answer Key
Section A — Multiple Choice Questions
- (A) $(a+b)(a-b)$
- (A) $(x+2)(x+3)$
- (B) $(x+3)(x-3)$
- (A) $(x-3)(x-4)$
- (B) $c$
Section B — Short Answer (2 marks)
- $(x+4)(x-4)$.
- $(x+2)(x+5)$.
- $(x-2)(x-3)$.
- $(2x+5)(2x-5)$.
Section C — Short Answer (3 marks)
- $(x+4)(x-3)$.
- $(2x+1)(x+3)$.
- $(3x+4y)(3x-4y)$.
- $(x-3)(x-7)$.
Section D — Long Answer (5 marks)
- $(3x-2)(2x+5)$.
- $(7x+9y)(7x-9y)$ and $(x-5)(x+3)$.
Generated by Vidaara.org · Assignment VID-M09-18-TRN-01 · vidaara.org