Standard Form Of A Quadratic Page 2

DERIVATION of the QUADRATIC FORMULA!

Given a quadratic function in standard form, f(x) = ax

+ bx + c, set f(x) = 0 to find the x-intercepts (also

called zeros, roots, solutions). One method of solving a quadratic equation (once it is set = 0) is to

factor then set each factor = 0. Note, if it it not yet set = 0 you must do that FIRST! For example:

Solve: x

+ 5x – 6 = 0

Another method of solving a quadratic equation is to isolate the squared term then take the square

root of both sides. This works well in certain situations. For example:

Solve: x

= 9

= 0

= -4

Solve: (x-4)

= 9

2(x+1)

– 18 = 0

If none of the methods above work you learned in Algebra 1 to use the Quadratic Formula, which, if

you remember it is…(try to write it here from memory):

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