Polynomials

General Polynomials

100

Expressions that are made by adding and subtracting terms.

What is a polynomial

200

What is a binomial?

Give an example of a binomial

Two terms

2x³+8x

300

Simplify the polynomial expression.

(-4x+9)+(3x²-6x+7)

3x²-10x+16

400

What does trinomial mean?

Give an example of a trinomial

3 terms

-7x²+5x-13

500

Simplify the polynomial expression.

(-2x²+6x-11)-(x²-7x-12)

-3x²+13x+1

Solve for X

100

Solve for x.

2x+(-3x+13)=28

x=-15

200

Solve for x.

42=(5x+18)+(x-6)

x=5

300

Solve for x.

101=(11x-7)-(-2x-4)

x=8

400

Solve for x.

7(2x+1)=77

x=5

500

Solve for x.

-38=3(x-1)+1

x=-12

Multiplying Polynomials

100

Multiply and simplify.

(x+5)(x-4)

x²+x-20

200

Multiply and simplify.

(2x-3)(x+7)

2x²+11x-21

300

Multiply and simplify.

4(x+1)(x-2)

4x²-4x-8

400

Multiply and simplify.

(4x² -5x-1)(6x+6)

24x³-6x² -36x-6

500

Multiply & Simplify

(3n²-4n+8)(2n²+3n+2)

6n⁴+n³+10n²+16n+16

Factoring Binomials

100

Factor into the product of two binomials.

x² - 17x+72

(v-8)(v-9)

200

Factor into the product of two binomials.

x²-5x-36

(x+4)(x-9)

300

Factor into the product of two binomials.

5x² -19x+18

(5x-9)(x-2)

400

Factor into the product of two binomials.

4x²+31x+21

(x+7)(4x+3)

500

Factor into the product of two binomials.

4x²-25

(2x+5)(2x-5)

Solving Diamond Problems

100

What are two number that:

Multiply to -16

Add to 6

-2 & 8

200

What are two number that:

Multiply to 9

Add to -10

-1 & -9

300

What are two number that:

Multiply to -150

Add to -5

-15 & 10

400

What are two number that:

Multiply to -6

Add to -5

-6 & 1

500

What are two number that:

Multiply to 120

Add to 23

15 & 8