## 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, 28p^{2}q^{2}

(ii) 8abc, 24ab^{2}, 12a^{2}b

Solution:

Question 2.

Factorise the following:

(i) 10x^{2} – 18x^{3} + 14x^{4}

(ii) 5x^{2}y + 10xyz + 15xy^{2}

(iii) p^{2}x^{2} + c^{2}x^{2} – ac^{2} – ap^{2}

(iv) 15(x + y)^{2} – 5x – 5y

(v) (ax + by)^{2} + (ay – bx)^{2}

(vi) ax + by + cx + bx + cy + ay

(vii) 49x^{2} – 70xy + 25y^{2}

(viii) 4a^{2} + 12ab + 9b^{2}

(ix) 49p^{2} – 36q^{2}

(x) 100x^{3} – 25xy^{2}

(xi) x^{2} – 2xy + y^{2} – z^{2}

(xii) x^{8} – y^{8}

(xiii) 12x^{3} – 14x^{2} – 10x

(xiv) p^{2} – 10p + 21

(xv) 2x^{2} – x – 6

(xvi) 6x^{2} – 5xy – 6y^{2}

(xvii) x^{2} + 2xy – 99y^{2}

Solution:

Question 3.

Divide as directed:

(i) 15(y + 3)(y^{2} – 16) ÷ 5(y^{2} – y – 12)

(ii) (3x^{3} – 6x^{2} – 24x) ÷ (x – 4) (x + 2)

(iii) (x^{4} – 81) ÷ (x^{3} + 3x^{2} + 9x + 27)

Solution: