Definitions
Combining
Multiplying Polynomials by Monomials
Multiplying Binomials
Multiplying Binomials and Trinomials
100

In an expression, it is the term that has no variable attached to it.

What is a constant?

100

(3x+ 2x) + (4x+ 1)

7x+ 2x + 1

100

a(4a + 3)

4a+ 3a

100

(m + 4)(m + 1)

m+ 5m + 4

100

(x + 1)(x+ 2x + 4)

x+ 3x+ 6x + 4

200

3x, 4y, 6x2, 5xy are examples of this.

What is a monomial?

200

(5a + 9b) - (2a + 4b)

3a + 5b

200

b(b- 12b + 1)

b- 12b+ b

200

(t + 4)2

t+ 8t + 16

200

(w + 4)(w+ 3w - 6)

w+ 7w+ 6w - 24

300

The number attached to the left of a variable.

What is a coefficient?

300

(x2+3x-1) + (5x2-5x-7)

6x- 2x - 8

300

3x(5x- x + 4)

15x- 3x+ 12x

300

(3n - 7)(n + 3)

3n+ 2n - 21

300

(2y - 11)(y- 3y + 2)

2y- 17y+ 37y - 22

400

(x + 5) and (3y + 4x2) are examples of this.

What is a binomial?

400

(2g - 2h + 1) - (-3h + 4g)

-2g + h + 1

400

-3n2(-2n+ 3n + 4)

6n- 9n- 12n2

400

(12t - 5)(12t + 5)

144t- 25

400

(4a + 7)(9a+ 2a - 7)

36a+ 71a- 14a - 49

500

Grouping together terms that are the same.

(ex: 5x + 10x = 15x)

What is combining like terms?

500

-3(5x2+2x+9) + x(2x-3)

-13x- 9x - 27

500

-9g(-2g+g2)+3(g3+4)

-6g+ 18g+ 12

500

(11z - 5y)(3z + 2y)

33z+ 7yz - 10y2

500

(3b + 4)(2b- b + 4)

6b+ 5b+ 8b + 16