Question

Factorise these questions

Answer 1

Answer:

(c) The factors of the equation x² - x - 20 are (x - 5)(x + 4).

(d) The factors of the equation x² + 11x - 60 are (x + 15)(x - 4).

Step-by-step explanation:

(c)

The equation (x² - x - 20) can be factorized as follows:

$x^{2}-x-20=0\\x^{2}-5x+4x-20=0\\x(x-5)+4(x-5)=0\\(x-5)(x+4)=0$

Thus, the factors of the equation x² - x - 20 are (x - 5)(x + 4).

(d)

The equation (x² + 11x - 60) can be factorized as follows:

$x^{2}+11x-60=0\\x^{2}+15x-4x-60=0\\x(x+15)-4(x+15)=0\\(x+15)(x-4)=0$

Thus, the factors of the equation x² + 11x - 60 are (x + 15)(x - 4).