Classifying Polynomials
Adding & Subtracting Polynomials
Multiplying Polynomials
Dividing Polynomials
Polynomial Applications
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
Calculate 2(3a2+4a+5)
6a2+8a+10
100
What is 6x2÷2x?
3x
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
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(2x^2+4)
-6x^3-12x
200
Divide 8a3÷(-4a)
-2a2
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 its degree and the number of terms:
-4x^4+3x^2-x
Degree 4 (Quartic) Trinomial
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
(3x)(2x2+4x+1)
6x3+12x2+3x
300
(18x2 +30x) ÷ 6x
3x+5
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 degree and the number of terms:
3x^2-x
Degree 2 (Quadratic) binomial
400
Subtract the following polynomials. Write your final answer in standard form.
(3x+2)-(11x-6)
-8x+8
400
What is (5x2) (x2−2x+4)
5x4-10x3+20x2
400
15x2y÷3xy
5x
400
Determine the area of the shaded region.
66x^3+40x^2+24x
500
Classify the polynomial by its degree and the number of terms:
-2y^3-3y^2+4xy
Degree 3 (Cubic) Trinomial
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.
(9x+1)(6x+2)
54x^2+24x+2
500
(10x3y2 + 20xy3) ÷ 5xy
2x2y + 4y2
500
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