Question

How do I factorize a quadratic expression ?

Answer 1

Answer:

Please check below the step-by-step explanation.

Step-by-step explanation:

Considering the quadratic expression

$ax^2+bx\:+\:c\:=0$

$a,\:b,\:and\:c\:can\:have\:any\:value,\:except\:that\:a\:can't\:be\:0.$

$To\:Factorise\:a\:Quadratic\:is\:to:$

" $find\:what\:to\:multiply\:to\:get\:the\:Quadratic$ "

For example, multiplying $(x + 3)$ and $(x - 2)$ together will bring $x^2+x-6$

i.e.

$\left(x+3\right)\left(x-2\right) = xx+x\left(-2\right)+3x+3\left(-2\right)$

$\mathrm{Apply\:minus-plus\:rules}$

$+\left(-a\right)=-a$

$\left(x+3\right)\left(x-2\right) = xx-2x+3x-3\cdot \:2$

                       $= x^2+x-6$

Therefore,  $(x + 3)$ and $(x - 2)$ are factors of $x^2+x-6$

Keywords: factorize, quadratic expression

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