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