7.1-7.3 Review - Polynomials (Classifying & Operations)

Determine Degrees/Terms

100

Determine the DEGREE of the polynomial and name it.

12x^3y

4th degree

200

Classify the number of terms (...nomial)

-3x^5y+18x

Binomial

300

Determine the DEGREE of the polynomial and name it.

-8ab+9b-3

Quadratic

400

Classify the number of terms (...nomial)

9qr+12q-14

Trinomial

500

Determine the DEGREE of the polynomial and name it.

19x^4y^2z+14x^10

10th degree

Classifying Terms

100

Name each polynomial based on its degree AND number of terms.

2wx+14x^2y

Cubic Binomial

200

Name each polynomial based on its degree AND number of terms.

6cd^3+c-3

4th degree Trinomial

300

Name each polynomial based on its degree AND number of terms.

19

Constant Monomial

400

Name each polynomial based on its degree AND number of terms.

3q^2r+4qs+14s+12

Cubic Polynomial

500

Name each polynomial based on its degree AND number of terms.

18e+12

Linear Binomial

Adding Polynomials

100

Simplify the expression.

3x+2x^2-4x+3x^2-5x

5x^2-6x

200

Simplify the expression.

(3x-8)+(7x+4)

10x-4

300

Simplify the expression.

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

6m^2-1

400

Simplify the expression.

(-2x^3+4x^2-5)+(4x^3+2x^2-x+8)

2x^3+6x^2-x+3

500

Simplify the expression.

(x^2+2x-4)+(2x^2-5x-3)

3x^2-3x-7

Subtracting Polynomials

100

Simplify the expression.

(3x^2-5x-8)-(-4x^2-2x-1)

7x^2-3x-7

200

Simplify the expression.

(x^2+3x-5)-(4x^2+3x-6)

-3x^2+1

300

Simplify the expression.

(-5x+4)-(3x^2-7x+4)

-3x^2+2x

400

Simplify the expression.

(5y^2-2y+1)-(y^2+y+3)

4y^2-3y-2

500

Simplify the expression.

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

6x^2-x-2

Multiplying Polynomials

100

Simplify the expression.

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

6x^3-24x^2-18x

200

Simplify the expression.

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

8x^2+6x+1

300

Simplify the expression.

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

-6x^4+17x^3-16x^2+6x

400

Simplify the expression.

(x-12)(x+12)

x^2-144

500

Simplify the expression.

(x-4y)^2

x^2-8xy+16y^2