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A.5 Day 4 Factor by Grouping
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Factoring by Grouping
Objective: Solve equations by factoring.
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Quadratic equations are equations such as
A quadratic equation is an equation equivalent to one of the formwhere a, b, and c are real numbers and
Quadratics are seconddegree equations because the largest exponent is a 2.
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Solve
The solution set is
or
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Polynomial equations are equations such as
The degree of a polynomial is determined by the largest exponent.
x3 + 2x2 x + 5 = 0 , x5 + 6x2 9 = 0 , x2 x = 0
A polynomial equation is an equation that is constructed from one or more variables and constants, using only the operations of addition, subtraction, multiplication, and constant positive whole number exponents.
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A.5 Day 4 Factor by Grouping
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Factoring when you have four terms
Solve
The solution set is
What do the first two terms have in common?
Factor out (x1) from both terms.
Factor the quadratic.
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Solve x3 + 3x2 x 3 = 0
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Hmwk: page 998 (88 92)&
Factoring 1/2 sheet
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