Notes Over 6.4Factoring Special Products

Sum of Two Cubes33 ba

ba 22 baba 33 278 yx

yx 32 4 2x xy6 29y

Notes Over 6.4Factoring Special Products

33 ba ba 22 baba

33 278 yx yx 32 4 2x xy6 29y

Difference of Two Cubes

125 .1 3 x

Notes Over 6.4Factoring the Sum or Difference of CubesFactoring the Sum or Difference of Cubes

Factor the polynomial.

5x 2x

343 .2 3 x 7x 2x

x5 25

x7 49

164 .3 3 x

Notes Over 6.4Factoring the Sum or Difference of CubesFactoring the Sum or Difference of Cubes

Factor the polynomial.

14 x 216x

278 .4 3 x 32 x 24x

x4 1

x6 9

3

243 .5 3 x

Notes Over 6.4Factoring the Sum or Difference of CubesFactoring the Sum or Difference of Cubes

3

Factor the polynomial.

2x 2x7291000 .6 3 x

910 x 2100x

x2 4

x90 81

3x 8

99 .7 23 xxx

Notes Over 6.4Factoring by GroupingFactoring by Grouping

Factor the expression completely.

2x x 1

92 x 1x

9 x 1

3x 3x 1x

55 .8 23 xxx

Notes Over 6.4Factoring by GroupingFactoring by Grouping

Factor the expression completely.

x 2x 1

5x 12 x 5 2x 1

1x 1x 5x

48163 .9 23 xxx

Notes Over 6.4Factoring by GroupingFactoring by Grouping

Factor the expression completely.

2x x 3

162 x 3x 16 x 3

4x 4x 3x

925 .10 4 x

Notes Over 6.4Factoring Polynomials in Quadratic FormFactoring Polynomials in Quadratic Form

Factor the expression completely.

25x 3 25x 36 .11 24 xx

2x 3 2x 2

6416 .12 24 xx

Notes Over 6.4Factoring by GroupingFactoring by Grouping

Factor the expression completely.

2x 8 2x 8

22 8x449 .13 4 x

27x 2 27x 2

xx 93 .14 2

Notes Over 6.4Solving a Polynomial EquationSolving a Polynomial EquationFind the real-number solutions of the equation.

093 2 xx 0 x3 x 3

x9 x9

03 x 03 x

x 03 3x 3

3 3

152 .15 2 xx

Notes Over 6.4Solving a Polynomial EquationSolving a Polynomial EquationFind the real-number solutions of the equation.

01522 xxx2 x215 15

x 5 0 x 305 x 03 x

x 53 3x 3

5 5

xx 164 .16 3

Notes Over 6.4Solving a Polynomial EquationSolving a Polynomial EquationFind the real-number solutions of the equation.

0164 3 xx 0 x4 2x 4x16 x16

4x x 2 0 x 202 x 02 x

x 22 2x 2

2 204 x

x 04 4

242 .17 2 xx

Notes Over 6.4Solving a Polynomial EquationSolving a Polynomial EquationFind the real-number solutions of the equation.

02422 xx24 24

x 4 0 x 604 x 06 x

x 46 6x 6

4 4

Notes Over 6.4