BELL RINGER• SKETCH THE

DRAWING TO THE RIGHT.

• DRAW AND LABEL FIGURE 3 USING THE POSSIBLE LABELS IN THE MIDDLE COLUMN.

FACTORING POLYNOMIALSNOVEMBER 3, 2015

OBJECTIVE

• STUDENTS WILL SOLVE POLYNOMIAL EQUATIONS BY FACTORING.

ESSENTIAL QUESTION•HOW CAN YOU RECOGNIZE WHEN EACH FACTORING METHOD WOULD WORK BEST?

THE NOTRE DAME CATHEDRAL BEGAN CONSTRUCTION IN 1163 AND WAS COMPLETED IN 1345 (THAT’S 182 YEARS!!!!

THAT’S LIKE A BUILDING STARTED IN 1833 BEING COMPLETED THIS YEAR!!)

• TO SIMPLIFY POLYNOMIALS AS MUCH AS POSSIBLE TO BE ABLE TO FIND THE ZEROES OF THE EXPRESSION

What’s the goal of

factoring?

METHODS OF FACTORING• FACTOR OUT A GCF

•QUADRATIC TRINOMIALS (FACTORS OF C WITH A SUM OF B)

• PERFECT SQUARE TRINOMIALS

•DIFFERENCE OF SQUARES

• SUM & DIFFERENCE OF CUBES

• FACTORING BY GROUPING (WHEN THERE ARE 4 TERMS)

• IS THERE A GCF?

YEP!

• CAN INSIDE OF PARENTHESIS BE FACTORED?

YEP!

• CAN IT BE FACTORED ANYMORE?

NOPE! YOU’RE DONE :D

16 𝑥4−81• IS THERE A GCF?

NOPE!

• IS IT A SPECIAL CASE?

YEP! DIFFERENCE OF SQUARES

2 𝑥8+10 𝑥5+12𝑥2• IS THERE A GCF?

YEP!

• CAN INSIDE OF THE PARENTHESIS BE FACTORED?

YEP!

THE POLYNOMIALS AND SHARE A COMMON BINOMIAL FACTOR. WHAT FACTOR DO THEY SHARE?

Factor each polynomial separately, then compare!

POLYNOMIAL PUZZLE• YOU WILL WORK WITH YOUR TABLE

PARTNER TO PIECE TOGETHER THE PUZZLE

• THERE ARE 16 SMALL TRIANGLES… WHEN YOU PIECE IT TOGETHER IT WILL MAKE 1 LARGE EQUILATERAL TRIANGLE

• MATCH UP THE SIDES OF THE SMALLER TRIANGLES BY FACTORING AND MATCHING THE POLYNOMIAL WITH ITS FACTORED FORM.