9.1-9.7 Polynomials Review

Adding

100

(4x+9)+(x+4)

5x+13

200

(-3x-2)+(7x+5)

4x+3

300

(x²+3x+5)+(-x²+6x)

9x+5

400

(x³-10x+2)+(2x³-x²+3x-8)

3x³-x²-7x-6

500

Find the perimeter of the rectangle whose length is 3x+2 and whose width is x-1

8x+2

Subtracting

100

(x+4)-(3x-6)

-2x+10

200

(-5x-2)-(7x+6)

-12x-8

300

(x²-5)-(-3x²-x-8)

4x²+x+3

400

(2x²-3x)-(x²-2x+4)

x²-x-4

500

Find the length of the rectangle whose area is 10x+6 and whose width is 3x-1.

2x+4

Multiplying

100

3x²(2x³)

6x⁵

200

2x(x²-5x+4)

2x³-10x²+8x

300

(x+3)(x-2)

x²+x-6

400

(2x+1)²

4x²+4x+1

500

(x+9)(x-9)

x²-81

Factoring

100

What is the GCF of 10x² and 15x?

5x

200

What is the GCF of 12x⁴, 8x³, and 16?

4

300

18x⁵+36x³+27x²

9x²(2x³+4x+3)

400

x²-9x+20

(x-5)(x-4)

500

x²-9

(x+3)(x-3)

Standard Form

100

2x²+x³

x³+2x²

200

-x+12x²+1

12x²-x+1

300

10+2x²-x⁵

-x⁵+2x²+10

400

________ refers to the highest exponent in a polynomial

degree

500

A constant has a degree of

zero