GCF and factored form

Multiplying Polynomials 1

100

3x(x+1)

What is 3x² + 3x ?

200

x²(3x+1)

 What is 3x³+x² ?

300

2x(x²-3x+3)

 2x³-6x²+6x?

400

5(3x²-4)

 15x²-20 

500

3m²(2m⁴+m³_- m²)

 6m⁶+ 3m⁵ - 3m⁴

Steps to Simplify:

100

When adding polynomials, you must combine _______   ________.

What is like terms?

200

When adding polynomials, what happens to to the exponents?

What is "keep the exponents the same"?

300

When adding polynomials, what happens to the coefficients of each term?

What is combine like terms/add coefficients?

400

When multiplying polynomials, what happens to the exponents?

What is add the exponents?

Add/Subtract Polynomials

100

(5p² − 3) + (2p² − 3 p³ )

−3p³ + 7p² − 3

200

(a³ − 2a² ) − (3a² − 4a³ )

5a³ − 5a² 

300

(5a + 4) − (5a + 3)

1

400

(−4k⁴ + 14 + 3k² ) + (−3k⁴ − 14k² − 8)

−7k⁴ − 11k² + 6 

500

(8n − 3n⁴ + 10n² ) − (3n² + 11n⁴ − 7)

−14n⁴ + 7n² + 8n + 7

Polynomial Vocabulary

100

The number or variable located^(here)

What is an exponent

200

A numerical expression, variable, or symbol separated by a + or - sign.

What is a polynomial?

300

What are the names of polynomials with one term, two terms and three terms?

What is a monomial, binomial and trinomial?

400

The sum of the exponents of a term is called?

What is a degree?

500

A number by itself is called a _____________, and a number in front of the variable is called _________.

What is a constant and a coefficient?

Multiplying Polynomials 2

100

GCF OF 15x²+25x+35

5

200

Gcf of 6m⁴+12m³-2m²

2m²

300

Gcf of 18 and 36

18

400

Factored form of 3x²+9x+27

3(x²+3x+9)

500

Factored form of 36x²-4x³

4x²(9-x)