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Factoring is the process of breaking down numbers or equations into smaller components. When multiplied, these components will equal the original number or equation.

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Factoring can help us find unknown numbers of different equations, help us simplify equations, and help us simplify numbers when needed.

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So, 20 = 5*2*2

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ax^2 + bx + c
a not zero, but b & c could be

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x = (-b +/- √(b^2 - 4ac))/2a

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x² + 5x + 4 = 0

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(a+b)(a+b) = a^2+2ab+b^2
(a+b)(a-b) = a^2-b^2
(a-b)(a-b) = a^2-2ab+b^2

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x ² – 3 x – 10

=(x-5)(x+2)

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By factoring an equation, we can find its solutions

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By factoring an equation, we can find its solutions

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x ² – 3 x – 10=0
(x-5)(x+2)=0
x-5=0 & x+2=0
x=5 & x=-2

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Consider 4x^2 + 8x - 60 . Each term in our equation contains a factor of 4. So we can "factor" it out:

==> 4(x^2 + 2x - 15) . . . we can use this simpler quadratic
==> 4(x - 3)(x + 5)