Vocabulary
Adding/Subtracting Polynomials
Factoring Trinomials
Multiplying Polynomials
Special Factoring Cases
100
How do you determine the number of turning points a polynomial has from its equation? 

It will be one less than the degree.

100
(x+5)+(3x+9)
4x + 14
100

Factor into two binomials: x2+10x+25

(x+5)(x+5)

100
(3x+1)(2x+3)
6x2+12x+3
100

Factor 4x2-16

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

200

What is the DEGREE of 2x3+9x4-5x2+6

4

200
(3x2+4x)+(2x2-3x)
5x2+x
200

Factor into two binomials: x2+2x-24

(x+6)(x-4)

200
(2x-5)(3x+2)
6x2-4x-10
200

Factor: 10x3-8x2+25x-20

(2x2+5)(5x-4)

300
How many terms are in this polynomial? 4y5+6xy-3x2
Three
300

(6x2-5x+8)-(4x2-7x+9)

2x2+2x-1

300

Factor 2x2-7x+6

(2x-3)(x-2)

300
(2x-4)(3x2-6x+1)
6x3-24x2+26x-4
300

Factor: 2x6-14x4+x2-7

(x2-7)(2x4+1)

400

How do you identify if a factor is tangent to or crosses the x-axis?

Tangent if the factor occurs an even number of times; crosses if the factor occurs an odd number of times.

400
(8x2-4x+3)+(7x2+2x-11)
15x2-2x-8
400

Factor 2x2-x-6

(x-2)(2x+3)

400
(2x2-4x+6)(x2+5x-2)
2x4+6x3-18x2+38x-12
400

Factor: x3+27

(x+3)(x2-3x+9)

500

Like terms need to have...(two things!!)

1. Same variables 2. Same exponents

500

(6x3+4x2-4x+5)-2(2x3-3x2+5x-5)

2x3+10x2-14x+15

500

Factor 4y2+12y+9

(2y+3)(2y+3)

500

What operation "undoes" multiplication of polynomials?

Factoring

500

Factor: 64x3-125

(4x-5)(16x2+20x+25)

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