Question

Factorise.
a. x²+3x+2
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Answer 1

there are many methods to simplify this

1) factorization

$x^{2} +3x+2=0\\\\x^{2} +2x+1x+2=0\\\\x(x+2)+1(x+2)=0\\\\(x+2)(x+1)=0$

$x = -2 \\or \\x=-1$

2) quadratic formula

since it is in the form of quadratic equation we can use dis formula here,

$a=1,\\ b=+3, \\c=2$

formula:-

$\frac{-b+-\sqrt{b^{2} 4ac} }{2(a)}$

$\frac{-3+-\sqrt{3^{2}-4(1)(2) } }{2}$

$\frac{-3+-\sqrt{9-8} }{2}$

$\frac{-3+-\sqrt{1} }{2}$                                                

                                                               

$\frac{-3+1}{2}\\\\\frac{-2}{2} \\\\= (-1)$

$\frac{-3-1}{2}\\\\\frac{-4}{2} \\\\= (-2)$

∴ x = (-1)

  y = (-2)