Question

Factorise: x^2 + x - (a^2 +3a +2) *​

Answer 1

Answer

hope this helps you

Answer 2

Answer:

${x}^{2} + x - ( {a}^{2} + 3a + 2)$

$Here, a = 1, b = 1, c = -( {a}^{2} + 3a + 2 )</p><p></p><p>$

$x = \frac{ - b \: ± \: \sqrt{ {b}^{2} - 4ac} }{2a}$

$x = \frac{ - 1 \:± \sqrt{ {1}^{2} - 4 \times 1 \times - ( {a}^{2} + 3a + 2) } }{2 \times 1}$

$x = \frac{ - 1± \sqrt{1 + 4 {a}^{2} + 12a + 8} }{2}$

$x = \frac{- 1± \sqrt{ {4a}^{2} + 12a + 9} }{2}$

$x = \frac{ - 1± \sqrt{ {(2a + 3)}^{2} } }{2}$

$x = \frac{ - 1±2a + 3}{2}$

$x = \frac{ - 1 + 2a + 3}{2} \: and \: x = \frac{ - 1 -( 2a + 3)}{2}$

$x = \frac{2(a + 1)}{2} \: and \: x = \frac{2( - a - 2)}{2}$

$x = (a + 1) \: and \: x = - (a + 2)$