ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 11 Factorisation Check Your Progress

Question 1.
Find the HCF of the given polynomials:
(i) 14pq, 28p²q²
(ii) 8abc, 24ab², 12a²b
Solution:
ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 11 Factorisation Check Your Progress 1

Question 2.
Factorise the following:
(i) 10x² – 18x³ + 14x⁴
(ii) 5x²y + 10xyz + 15xy²
(iii) p²x² + c²x² – ac² – ap²
(iv) 15(x + y)² – 5x – 5y
(v) (ax + by)² + (ay – bx)²
(vi) ax + by + cx + bx + cy + ay
(vii) 49x² – 70xy + 25y²
(viii) 4a² + 12ab + 9b²
(ix) 49p² – 36q²
(x) 100x³ – 25xy²
(xi) x² – 2xy + y² – z²
(xii) x⁸ – y⁸
(xiii) 12x³ – 14x² – 10x
(xiv) p² – 10p + 21
(xv) 2x² – x – 6
(xvi) 6x² – 5xy – 6y²
(xvii) x² + 2xy – 99y²
Solution:
ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 11 Factorisation Check Your Progress 2

Question 3.
Divide as directed:
(i) 15(y + 3)(y² – 16) ÷ 5(y² – y – 12)
(ii) (3x³ – 6x² – 24x) ÷ (x – 4) (x + 2)
(iii) (x⁴ – 81) ÷ (x³ + 3x² + 9x + 27)
Solution:
ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 11 Factorisation Check Your Progress 8