Note: This is the Solution of review exercise 4.1 from newly published book by PCTB (Punjab Curriculum and Textbook Board, Pakistan) for new 9th session 2025 Onward.
Exercise 4.1
Question # 01: Factorize by identifying common factors:
\((i)\) \(\quad\) \( 6x+12\)
\((ii)\) \(\quad\) \(15y^2+20y\)
\((iii)\) \(\quad\) \(-12x^2-3x) \)
\((iv)\) \(\quad \)\(4a^2b+8ab^2 \)
\((v)\) \(\quad \) \(xy-3x^2+2x \)
\((vi)\) \(\quad \) \(3a^2b-9ab^2+15ab \)
Question 2: Factorize and represent pictorially:
\((i)\) \(\quad\) \( 5x+15\)
\((ii)\) \(\quad\) \(x^2+4x+3\)
\((iii)\) \(\quad\) \(x^2+6x+8 \)
\((iv)\) \(\quad \)\(x^2+4x+4 \)
Question 3: Factorize:
\((i)\) \(\quad\) \( x^2+x-12\)
\((ii)\) \(\quad\) \(x^2+7x+10\)
\((iii)\) \(\quad\) \(x^2-6x+8 \)
\((iv)\) \(\quad \)\(x^2-x-56 \)
\((v)\) \(\quad \) \(x^2-10x-24 \)
\((vi)\) \(\quad \) \(y^2+4y-12 \)
\((vii)\) \(\quad \) \(y^2+13y+36 \)
\((viii)\) \(\quad \) \(x^2-x-2 \)
Question 4: Factorize:
\((i)\) \(\quad\) \( 2x^2+7x+3\)
\((ii)\) \(\quad\) \(2x^2+11x+15\)
\((iii)\) \(\quad\) \(4x^2+13x+3 \)
\((iv)\) \(\quad \)\(3x^2+5x+2 \)
\((v)\) \(\quad \) \(3y^2-11y+6 \)
\((vi)\) \(\quad \) \(2y^2-5y+2 \)
\((vii)\) \(\quad \) \(4z^2-11z+6 \)
\((viii)\) \(\quad \) \(6+7x-3x^2 \)