Unit 10 Polynomials - Alg 1

Classify

100

Classify by terms and degree.

x^2+3x-1

Terms:  Trinomial

Degree:  Quadratic

200

Classify by terms and degree.

3a^4

Terms:  Monomial

Degree: Quartic

300

Classify by terms and degree.

xy^4-2xy+5x^2

Terms:  Trinomial

Degree: 5th degree

400

Classify by terms and degree.

5ab^2+4a^2b

Terms: Binomial

Degree: Cubic

500

What is the leading coefficient.

7x^2-2x^3+1-4x

Leading Coefficient is -2

Standard Form:

-2x^3+7x^2-4x+1

Add/Subract

100

Add

(2w^3-6w)+(7-10w^3)

-8w^3-6w+7

200

Add

(7ab^2+4a+b)+(-3ab^2-3a)

4ab^2+a+b

300

Add

(6y^6+5y^4+5)+(3-4y^4-6y^6)

y^4+8

400

Subtract.

(4r^2+4)-(3r+1)

4r^2-3r+3

500

Subtract.

(-2b^2+6b-9)-(5b^2+4b-2)

-7b^2+2b-7

Multiply w/Monomial

100

What is the property used to multiply a monomial with a polynomial?

Distributive Property

200

Multiply.

4x(3x)

12x^2

300

Multiply.

-2xy(5x^2)

-10x^3y

400

Multiply.

5x(-3x+5)

-15x^2+25x

500

Multiply.

7xy(4xy-7y+2x^2)

28x^2y^2-49xy^2+14x^3y

Multiply Polynomials

100

What does F.O.I.L stand for and when is it used?

The order used to multiply two binomials:  first terms, outside terms, inside terms, last terms

200

Multiply.

(x+1)(x-3)

x^2-2x-3

300

Multiply.

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

12x^2+20x+8

400

Multiply.

(x+5)(x^2-4x+2)

x^3+x^2-18x+10

500

Multiply.

(x-3)(2x^2-4x-6)

2x^3-10x^2+6x+18

Special Cases

100

Multiply.

(x-4)(x+4)

x^2-16

200

Multiply.

(x+6)^2

x^2+12x+36

300

Multiply.

(x-1)^2

x^2-2x+1

400

Multiply.

(5x+7)(5x-7)

25x^2-49

500

Multiply.

(5x-7)^2

25x^2-70x+49