Factoring Polynomials

Vocabulary

100

What does Greatest common factor mean?

The largest factor shared by two or more numbers

200

What do you call a polynomial that has 3 terms?

Trinomial

300

8x³+343 Can be factored using what method?

Sum of Cubes

400

What do you call a polynomial that has 1 term?

Monomial

500

How can polynomials be used in the real world?

Rollercoasters, Bridges, Roads, Hills, Mountains, etc...anything involving curves.

GCF

100

What is the GCF of 6 and 12?

6

200

Find the GCF 

-7 and 21

7

300

Find the GCF

-4 and -32

-4

400

Find the GCF

-5x+10

5

500

Find the GCF

-12x²-4x

-4x

Difference of Squares

100

x²-121

(x+11)(x-11)

200

25x²-1

(5x+1)(5x-1)

300

4x²-36

(2x+6)(2x-6)

400

2x²-72

2(x+6)(x-6)

500

18x²-200

2(3x+10)(3x-10)

Sum/Difference of Cubes

100

x³+64

(x+4)(x²-4x+16)

200

x³-8

(x-2)(x+2x+4)

300

x³+729

(x+9)(x²-9x+81)

400

x³-125

(x-5)(x²+5x+25)

500

8x³-343

(2x-7)(4x²+14x+49)

X-Box Method

100

x²-5x+6

(x-3)(x-2)

200

4x²-8x-5

(2x-5)(2x+1)

300

49x²-28x+4

(7x-4)(7x-4)

400

16x²-8x+1

(4x+1)(4x+1)

500

3x²+6x-9

3(x+3)(x-1)