Algebra I Chapter 7 - Add, Subtract, and Multiply Polynomials

Vocabulary

100

How many terms are in a TRINOMIAL?

3

200

What is the number of the highest exponent in a quadratic equation?

2

300

What is the name of this expression 2x-1

Binomial

400

Write this polynomial in standard form: 2x+3+4x²

4x²+2x+3

500

What is an example of a trinomial?

3 terms only

Addition

100

Simplify 

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

-3x+13

200

When adding and subtracting polynomials what do you combine?

Like terms

300

(6x³+13x²)+(x³-x²+x)

7x³+12x²+x

400

(2x²-7x+9)+(-3x²+4x-5)

-x²-3x+4

500

(12x-4x²-4) + (-4x²-9x+8)

-8x²+3x+4

Multiplication

100

4(2x+3)

8x+12

200

x(x-5)

x²-5x

300

2x(3x²-2)

6x³-4x

400

x²(6x³+14)

6x⁵+14x²

500

3x²(x+3z²)

3x³+9x²z²

Multiplication cont.

100

(x+4)(x-4)

x²-16

200

(x+6)(x+2)

x²+8x+12

300

(x+4)(x-5)

x²-x-20

400

(4x²+2x-5)(2x-4)

8x³-12x²-18x+20

500

4x(3x³-2x²+x+3)

12x⁴-8x³+4x²+12x

Subtraction

100

(10x+6)-(2x-3)

8x+9

200

(4x-6)-(17x-10)

-13x+4

300

(3x³+10x²-4x-1) - (x³+7x²-5x-6)

2x³+3x²+x+5

400

(5x-4x²-2) - (4-7x-2x²)

-2x²+12x-6

500

(5x-3x²-2) - (-4x²+3x)

x²+2x-2