Vocabulary
Adding Polynomials
Subtracting Polynomials
Multiplying Polynomials
Factoring Polynomials
100
How many terms are in a trinomial?
Three
100
(x+5)+(3x+9)
4x + 14
100
(7x+4)-(5x+8)
2x-4
100
(3x+1)(2x+3)
6x2+12x+3
100

The GCF of 14a + 21a2 + 21a3.

What is 7a?

200
What is the DEGREE of 2x4+9x3-5x2+6
4
200
(3x2+4x)+(2x2-3x)
5x2+x
200
(6x2+4)-(3x2+5)
3x2-1
200

(2x - 5)2

4x2 - 20x + 25

200

Factor out the GCF:

-28v2 - 8v - 36

-4(7v2 + 2v + 9)

300
How many terms are in this polynomial? 4y5+6xy-3x2
Three
300
(-4x2+2x-3)+(5x2-4x+8)
x2-2x+5
300
(2x-4)-2(4x-2)
-6x
300
(2x-4)(3x2-6x+1)
6x3-24x2+26x-4
300

Factor out the GCF:

9x6 - 63x3 - 90x2

9x2(x4 - 7x - 10)

400

Classify the polynomial by degree and number of terms:

4x3y + 6y

Fourth degree binomial.

400
(8x2-4x+3)+(7x2+2x-11)
15x2-2x-8
400
(6x2-5x+8)-(4x2-7x+9)
2x2+2x-1
400

A portrait without its frame has a height 2 times its width w in inches. Its frame is 3 in. wide all along its perimeter. What is an expression for the area of the framed portrait in terms of w? Simplify your expression and write it in standard form.

2w2 + 18x + 36

400

Factor out the GCF:

12a4b3c2 - 4a3bc2 + 8a2c - 16ab

4a(3a3b3c2 - a2bc2 + 2ac - 4b)

500

Classify the polynomial by degree and number of terms:

3x2y + 5x3y + 6y4

Fourth degree trinomial

500
(5x3+4x2-2x+2)+2(2x3-2x2+x+5)
9x3+12
500

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

4x3 + 7x2 - 9x + 10

500

A square picture has a 2-in frame around it. If the area of the frame alone is 96 in2, what is the area of the picture?

100 in2

500

A polynomial that cannot be factored.

What is a prime polynomial?

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