Question

factorise
${x}^{2} - 5x - 14$
$a {}^{2} - 2a - 15$
​

Answer 1

Answer:

1)

x² -5x -14

x² -7x +2x -14

x ( x-7) +2(x-7)

(x-7)(x+2)

2)

a² -2a -15

a² -5a +3a -15

a(a-5) +3(a-5)

(a-5)(a+3)

Answer 2

AnswEr:-

(i) x² - 5x - 14

= x² - (7 - 2)x - 14

= x² - 7x + 2x - 14

= x(x - 7) + 2(x - 7)

= (x - 7)(x + 2)

(ii) a² - 2a - 15

= a² - (5 - 3)a - 15

= a² - 5a + 3a - 15

= a(a - 5) + 3(a - 5)

= (a - 5)(a + 3)

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