Intro to Polynomials

Classifying Polynomials

100

This type of polynomial is a number, a variable, or a product of a number and a variable.  It must have a whole number exponent.

Monomial

200

This type of polynomial is made up of three monomials.

Trinomial

300

This form is shown when you organize the polynomial by its exponents from greatest to smallest.

Standard Form

400

This type of polynomial is made up of two monomials.

Binomial

500

Which of the following does not belong?

-4

x²

0.5y³

6^z

6^z

Adding Polynomials

100

(5y+4)+(-2y+6)

3y+10

200

(2n²-5n-6)+(-n²-3n+11)

n²-8n+5

300

(-3p²+5p-2)+(-p²-8p-15)

-4p²-3p-17

400

What are the two methods used to add polynomials?

Horizontal and Vertical

500

(c²+6d²)+(c²-2cd+2d²)

2c²+8d²-2cd

Subtracting Polynomials

100

(x²+2x-5)-(-x²-2x+5)

2x²+4x-10

200

(d²-9)-(3d-1)

d²-3d-8

300

(x²-4x+9)-(3x²-6x-7)

-2x²+2x+16

400

(-r-10)-(-4r²+r+7)

4r²-2r-17

500

(t⁴-t²+t)-(-9t²+7t-12)

t⁴+8t²-6t+12

Multiplying Polynomials

100

What are the three methods for multiplying polynomials?

Distribute

Table

FOIL

200

(x+1)(x+3)

x²+4x+3

300

(6-5s)(2-s)

5s²-16s+12

400

(g-7)(g-2)

g²-9g+14

500

(x-4)(x²-3x+2)

x³-7x²+14x-8

Misc.

100

What does each letter of FOIL stand for?

First

Outer

Inner

Last

200

(x+2)²

x²+4x+4

300

Find the degree of the monomial

2m²n⁴

6th degree

400

You have a formative on what day?

Friday, Tomorrow, January 18th

500

Solve and write in standard form

(x⁵-2x³+x)(x-2)

x⁶-2x⁵-2x⁴+4x³+x²-2x