Operations with Polynomials Review

Classifying Polynomials

100

Determine the degree of the following polynomial:

5x - 1

Linear Binomial

200

Classify with Degree & Number of Terms?

7

Constant Monomial

300

Classify the polynomial by its degree and the number of terms:

-4x⁴ + 3x²- x 

Quartic Trinomial

400

Classify the polynomial by its degree and the number of terms:

3x² - x

Quadratic binomial

500

Classify the polynomial by its degree and the number of terms:

-2x³ + 4x² - 3x + 1

Cubic Polynomial 

Adding & Subtracting Polynomials

100

Add the following polynomials. Write your final answer in standard form.

(3a² - a + 3) + (4a² - 5)

7a² - a - 2

200

³Add the following polynomials. Write your final answer in standard form.

(5w³ - w + 2w² + 4) + (3w² + 1 - 4w)

5w³ + 5w² - 5w + 5

300

DAILY DOUBLE!!!!

Subtract the following polynomials. CLASSIFY by DEGREE & # of TERMS

(2m -3 + 7m²) - (3 - 9m² - 2m)

(2m -3 + 7m²) + (-3 + 9m² + 2m)

16m² + 4m - 6

400

Subtract the following polynomials. Write your final answer in standard form.

(3x+2)-(11x-6)

-8x+8

500

Subtract (2w² - 5w + 10) from  (w³ + 6w² - 2)  Write your final answer in standard form.

(w³ + 6w² - 2) - (2w² - 5w + 10)

(w³ + 6w² - 2) + (-2w² + 5w - 10)

w³ + 4w² + 5w - 12)  

Multiplying Polynomials

100

Multiply the polynomials. Write your final answer in standard form.

-3x(2x^2+4)

-6x^3-12x

200

Multiply the polynomials. Write your final answer in standard form.

(9x+1)(6x+2)

54x²+24x+2

300

Multiply the polynomials. Write your final answer in standard form.

(4x-1)^²

16x^² - 8x + 1

400

Multiply the polynomials. Write your final answer in standard form.

(7x+4)(7x-4)

49x² - 16

500

Multiply the polynomials. Write your final answer in standard form.

(2x - 5)(3x² - x + 6)

  

6x³ - 17x² + 17x - 30

Dividing Polynomials

100

Divide the following polynomials:

12c⁵d⁴ + 18c⁴d³ 

    3c²d³

4c³d + 6c²

200

Use the quotient rule for exponents to divide:

x²y⁵

xy³

xy²

300

Divide the following polynomials:

30r⁵s⁹ - 12r⁴s⁸ + 3r³s⁷

            3r²s²

10r³s⁷ - 4r²s^6- + rs⁵

400

Divide the following polynomials using long or synthetic division:

15x⁵ - 25x³ + 5x²

        5x⁴

3x  - 5/x   + 1/x²

500

Divide the Polynomial by Binomial:

(15x² + 6x)(2x  - 1)

            3x

3x² - x - 2

Simplify the Radical Expressions

100

sqrt 144x⁸y³

12x⁴y sqrt y

200

DAILY DOUBLE 

sqrt 180x³y⁸

sqrt 9 x sqrt 20                                                 sqrt 9      x       sqrt 4     x     sqrt 5

3             x              2     x   sqrt 5

6 sqrt 5

300

Simplify the Radical Expression

sqrt(63x⁵y²⁵z¹⁴)

sqrt(9x⁴y²⁴z¹⁴)sqrt(7xy)

3x²y¹²z⁷sqrt(7xy)

400

sqrt(56m²n⁴p³)

sqrt(4m²n⁴p²)sqrt(14p)

2mn²p sqrt(14p)

500

Simplify the radical Expression?

sqrt(45x²y⁵z⁸)

sqrt(9x²y⁴z⁸)sqrt(5y)

3xy²z⁴sqrt(5y)