Factorise :
(i) $x^{2} + 7 x + 6$
(ii) $x^{2} + 11 x + 18$
(iii) $x^{2} + 2 x - 8$
(iv) $x^{2} - 4 x - 5$
(v) $x^{2} - 8 x + 12$
(vi) $x^{2} - 5 x - 24$

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Solution

$(i) x^{2} + 7 x + 6$
$= x^{2} + x + 6 x + 6$
$= x (x + 1) + 6 (x + 1)$
$= (x + 6) (x + 1)$

$(i i) x^{2} + 11 x + 18$
$= x^{2} + 9 x + 2 x + 18$
$= x (x + 9) + 2 (x + 9)$
$= (x + 9) (x + 2)$

$(i i i) x^{2} + 2 x - 8$
$= x^{2} + 4 x - 2 x - 8$
$= x (x + 4) - 2 (x + 4)$
$= (x + 4) (x - 2)$

$(i v) x^{2} - 4 x - 5$
$= x^{2} - 5 x + x - 5$
$= x (x - 5) + 1 (x - 5)$
$= (x - 5) (x + 1)$

$(v) x^{2} - 8 x + 12$
$= x^{2} - 6 x - 2 x + 12$
$= x (x - 6) - 2 (x - 6)$
$= (x - 6) (x - 2)$

$(v i) x^{2} - 5 x - 24$
$= x^{2} - 8 x + 3 x - 24$
$= x (x - 8) + 3 (x - 8)$
$= (x - 8) (x + 3)$

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Similar questions

\frac{x^{2} + 11 x + 28}{x^{2} - 4 x - 77} \div \frac{x^{2} + 7 x + 12}{x^{2} - 2 x - 15}

x^{2} + 6 x + 8

x^{2} + 4 x - 21

x^{2} - 7 x + 12

:

x^{2} + 5 x + 6 = 0

x^{2} - 5 x + 6 = 0

x^{2} + 5 x - 6 = 0

x^{2} - 5 x - 6 = 0

Factorise:

(i) x² + 6x + 8; (ii) x² + 4x + 3; (iii) a² + 5a + 6; (iv) a² − 5a + 6; (v) a² − 3a − 40; (vi) x² − x − 72.

\frac{x^{2} - 7 x + 10}{x^{2} + 5 x - 14} \times \frac{x^{2} + 4 x - 21}{x^{2} - 9 x + 18} .

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