Exercise 3.6: Factorising the Quadratic Polynomial (Trinomial)

Factorising the Quadratic Polynomial (Trinomial)

Exercise 3.6

1. Factorise the following:

(i) x² + 10x + 24 (ii) z² + 4z −12 (iii) p² − 6p -16 (iv) t² + 72 −17t (v) y^{2 −} 16y – 80 (vi) a² + 10a −600

2. Factorise the following:

(i) 2a² + 9a +10

(ii) 5x² − 29xy − 42y²

(iii) 9 − 18x + 8x²

(iv) 6x² + 16xy + 8y²

(v) 12x² + 36x²y + 27y²x²

(vi) (a + b)² + 9(a + b)+ 18

3. Factorise the following:

(i) (p − q )² − 6(p − q ) -16

(ii) m² + 2mn −24n²

(iii) √5a² + 2a − 3√5

(iv) a⁴ − 3a² + 2

(v) 8m³ − 2m²n -15mn²

(vi) 1/x² + 2/y² + 2/xy