Polynomials Functions Review

Classifying Polynomials

100

Determine the degree of the following polynomial:

-3x^2+5x-1

Degree: 2

200

Is the following polynomial a monomial, binomial, or trinomial?

2xy-3x^2y

Binomial

300

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

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

Quartic Trinomial

400

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

3x^2-x

Quadratic binomial

500

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

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

Cubic Polynomial with 4 Terms

Adding & Subtracting Polynomials

100

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

(4x^2+4)+(19x^2-7)

23x^2-3

200

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

(13x^2y-2x+1)+(9x^2y-7)

22x^2y-2x-6

300

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

(-x^3+8x^2-5)+(10x^3-x^2+1)

9x^3+7x^2-4

400

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

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

-8x+8

500

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

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

-2x+6

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)

54x^2+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)

49x^2-16

500

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

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

6x^3-17x^2+17x-30

Factoring Polynomials

100

Solve this porblem using gcf 

y³+9y²

y²(y+9)

200

4x³-25x²+6x

x(4x-1)(x-6)

300

m³ − m² + 2m − 2

(m² + 2)(m − 1)

400

192x² y + 72x³ − 24rxy − 9rx²

3x(8x − r)(8y + 3x)

500

105xuv + 60xv − 70xu − 90xv²

5x(7u − 6v)(3v − 2)

Dividing Polynomials

100

Divide the following polynomials:

(x^2 + 5x + 6)/(x+2)

x + 3

200

Use the quotient rule for exponents to divide:

(x^2y^5)/(xy^3)

xy^2

300

Divide the following polynomials:

(n^3 +13n^2 +42n + 54)/(n + 9)

n^2 + 4n + 6

400

Divide the following polynomials using long or synthetic division:

(m^2 - 7m - 11)/(m-8)

m + 1 - 3/(m-8)

500

Divide the following polynomials using long or synthetic division:

(p^3 - 10p^2 + 20p + 26)/(p - 5)

p^2 -5p -5 + 1/(p-5)