Classifying Polynomials
Adding & Subtracting Polynomials
Multiplying Polynomials
Polynomial Applications
100

Determine the leading coefficient of the following polynomial:

-3x^2+5x-1

-3

100

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

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

23x^2-3

100

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

-3x(2x^2+4)

-6x^3-12x

100

Recall that the perimeter of a figure is the sum of all the lengths of the sides. Determine the perimeter of the triangle and write the answer in standard form.

2x^2+9x+2

200

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

2xy-3x^2y - 2

Trinomial

200

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

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

22x^2y-2x-6

200

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

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

54x^2+24x+2

200

Recall that the perimeter of a figure is the sum of all the lengths of the sides. Determine the perimeter of the figure in terms of z. Write your final answer in standard form.

90z+176

300

Classify the polynomial by the number of terms:

-4x^4+3x^2

Binomial

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

300

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

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

16x^2-8x+1

300

Find the area of each figure in terms of x. Then, write a simplified polynomial describing the total area of the rectangles and squares combined.

5x^2+24x

400

Classify the polynomial by its number of terms

3x^2

Monomial
400

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

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

-8x+8

400

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

(7x+4)(x^2-4x+1)

7x^3-24x^2-9x+4

400

Recall that area of a rectangle is length times width. Determine the area of the shaded region in terms of x.

x^2+8x+7

500

Rewrite in standard form:

-2x^2+4x^3-3x^4+15

-3x+ 4x3 - 2x2 + 15

500

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

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

-2x+6

500

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

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

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

500

Determine the area of the shaded region.

66x^3+40x^2+24x

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