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Factoring GCF and DOTS
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Standard form for quadratic equations: ax2 + bx + c = 0
GCF: Greatest Common Factor The largest number that divides evenly into two or more numbers The largest number of variables common to two or more terms
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Examples: Factor each expression (no equal sign)
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Solving (has equal sign)
Put in standard form Factor Set each factor that has a variable equal to 0 and solve.
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Examples: Solve each equation
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If you have only and a and b (no c) – you have a GCF
If you have only and a and b (no c) – you have a GCF!! You may have a GCF with any number of terms ALWAYS look for a GCF before using any other factoring method
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DOTS: Difference of Two Squares
Only 2 terms (a and c, no b) Both terms are perfect squares Subtraction in between
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Steps Factor out GCF if needed Square root both terms
Write two factors – one + and one -
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Examples: Factor.
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Examples: Solve.
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