Question

Factorise the following
1) x^2 + 7x + 10
2) x^2 – 16x + 39
3) x^2 – 9x – 36
4) x^2 + 2x – 48​

Answer 1

Answer:

$\huge\underline\bold {Answer:}$

1) x^2 + 7x + 10

$= {x}^{2} + 5x + 2x + 10 \\ = x(x + 5) + 2(x + 5) \\ = (x + 5)(x + 2)$

2) x^2 – 16x + 39

${x}^{2} - 16x + 39 \\ = {x}^{2} - 13x - 3x + 39 \\ =x(x - 13) - 3(x - 13) \\ = (x - 3)(x - 13)$

3) x^2 – 9x – 36

${x}^{2} - 12x + 3x - 36 \\ = x(x - 12) + 3(x - 13) \\ = (x - 12)( x - 3)$

4) x^2 + 2x – 48

$= {x}^{2} + 8x - 6x - 48 \\ = x(x + 8) - 6(x + 8) \\ = (x - 6)(x + 8)$