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Notes Over 5.2Factoring a Trinomial of the Form Factoring a Trinomial of the Form cbxx 2
65 .1 2 xx
Factor the trinomial.
x x6 1189 .2 2 xy
y y6 3
r r14 11415 .3 2 rr 124 .4 2 qq
q q6 2
x x2 123 .5 2 xx 2 .6 2 zz
z z2 1
Notes Over 5.2Factoring a Trinomial of the Form Factoring a Trinomial of the Form cbxax 2
Factor the trinomial. If the trinomial cannot be factored, say so.
6132 .7 2 xx
x2 x1 62 3
O I
x12 x
612 xx
x13
Notes Over 5.2Factoring a Trinomial of the Form Factoring a Trinomial of the Form cbxax 2
Factor the trinomial. If the trinomial cannot be factored, say so.
134 .8 2 xx
x4 x1 1O I
x4 x x5
x2 x21 1 x2 x2 x4
Notes Over 5.2Factoring a Trinomial of the Form Factoring a Trinomial of the Form cbxax 2
Factor the trinomial. If the trinomial cannot be factored, say so.
823 .9 2 xx
x3 x1 82 4
O I
x24 x
2 4 3 xx
x23x12 x2 x10
x3 x8 14 2
x3 x8 x5x6 x4 x2
Notes Over 5.2
Binomial Trinomial 4 or more terms
Methods of Factoring
GCF GCF GCFDifference of
SquaresPerfect Square
TrinomialTwo Binomials
(Shortcut)Two Binomials
(a is not 1)
Grouping
Notes Over 5.2Factoring Monomials FirstFactoring Monomials First
Factor the quadratic expression.
502 .10 2 x 2 2x 25
5x 5x2
Notes Over 5.2Factoring Monomials FirstFactoring Monomials First
Factor the quadratic expression.
5105 .11 2 xx
5 2x x2 x x5
11 1 215 x
Notes Over 5.2Factoring Monomials FirstFactoring Monomials First
Factor the quadratic expression.
yy 44 .12 2 y4 y 1
Notes Over 5.2Finding the Zeros of a Quadratic FunctionFinding the Zeros of a Quadratic Function
Find the zeros of the function.
20 .13 2 xxy
0 x x5 45x 4x
Notes Over 5.2Finding the Zeros of a Quadratic FunctionFinding the Zeros of a Quadratic Function
Find the zeros of the function.
1 .14 2 xy
0 1x 1x
1x 1x
Notes Over 5.2Finding the Zeros of a Quadratic FunctionFinding the Zeros of a Quadratic Function
Find the zeros of the function.
103 .15 2 xxy
0 x x5 25x 2x
Notes Over 5.2