2
@12 Solving by Factoring
%5
^1
A quadratic equation is written in 
standard form if the polynomial is 
equal to 0 and all terms are in 
descending order according to their 
exponents.
^2
Verify that the equation is in standard 
form; then factor the polynomial.
^3
Set each factor equal to 0.
^4
Solve the resulting equations.
^5
Write as a solution set.
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%6
^1
A quadratic equation is written in 
standard form if the polynomial is 
equal to 0 and all terms are in 
descending order according to their 
exponents.
^2
Rewrite the equation in standard form.
^3
Factor the polynomial.
^4
Set each factor equal to 0.
^5
Solve the resulting equations.
^6
Write as a solution set.
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@22 Using the Quadratic Formula
%7
^1
Quadratic equations which cannot be 
factored can be solved by using the 
Quadratic Formula. 
^2
Determine the value of the coefficients 
"a" and "b" and the constant "c."
^3
Substitute these values in the formula.
^4
Multiply.
^5
Simplify the radicand.
^6
Rewrite in simplest radical form.
^7
Reduce if possible.
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%10
^1
Quadratic equations which cannot be 
factored can be solved by using the 
Quadratic Formula.
^2
Rewrite the equation in standard form.
^3
Determine the value of the coefficients 
"a" and "b" and the constant "c."
^4
Substitute these values in the formula.
^5
Multiply.
^6
Simplify the radicand.
^7
Take square roots of perfect squares.
^8
Rewrite as two separate expressions, 
one with a plus sign and one with a 
minus sign.
^9
Simplify each numerator.
^10
Reduce if possible and write as a 
solution set.
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