Classifying Polynomials
Adding & Subtracting Polynomials
Multiplying Polynomials
Polynomial Applications with Diagrams
Polynomial Applications without Diagrams
100
Determine the degree of the following polynomial:
-3x^2+5x-1
Degree: 2
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
Determine the perimeter of the triangle and write the answer in standard form.
2x^2+9x+2
100
Find the area of a rectangle whose side lengths are
2x^2−4 and 3
6x^2−12
200
Is the following polynomial a monomial, binomial, or trinomial?
2xy-3x^2y
Binomial
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.
(3x^2y^3)(2x^3y^3)
6x^5y^6
200
Determine the perimeter of the figure in terms of z. Write your final answer in standard form.
90z+176
200
Find the perimeter of a square with side x.
4x
300
Classify the polynomial by the number of terms:
3x^2-x
Binomial
300
Subtract the following polynomials. Write your final answer in standard form.
(3x+2)-(11x-6)
-8x+8
300
Multiply the polynomials. Write your final answer in standard form.
(7x+4)(7x-4)
49x^2-16
300
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
300
Find the area of a right triangle with legs:
x^3 and 2x−8
x^4−4x^3
400
Classify the polynomial by its degree:
-4x^4+3x^2-x
Quartic
400
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
Multiply the polynomials. Write your final answer in standard form.
(4x-1)^2
16x^2-8x+1
400
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
Find the width of the rectangle if the perimeter is
8x^3−4x^2+10
and the length is
2x^3+3
2x^3−2x^2+2
500
Is the following a polynomial? Why or why not?
-2xy^2+4/3xy-3y^2+1
Yes, it has all positive, whole number (natural) exponents.
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
500
Add a uniform border of “x” to each dimension of a photo to determine the new perimeter. The original photo is 3” by 5”.
8x+16