Exponent Rules
Classifying Polynomials
Adding & Subtracting Polynomials
Multiplying Polynomials
Polynomial Applications
100
Use the product rule for exponents to multiply:
4x^3*5x^2
20x^5
100
Determine the degree and leading coefficient of the following polynomial:
-3x^4+5x-1
Degree: 4
Leading Coefficient: -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
Use the power rule for exponents to simplify
(3x^2y^5)^2
9x^4y^10
200
Determine the degree and leading coefficient of the following polynomial:
2x-5x^2+92
Degree: 2
Leading Coefficient: -5
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
Use the power rule to simplify:
(-4x^2yz^3)^2
16x^4y^2z^6
300
Determine the degree and leading coefficient of the following polynomial:
15x^2-4x^4+3x^3-x
Degree: 4
Leading Coefficient: -4
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)^2
16x^2-8x+1
300
Sarah is designing a rectangular garden with length 2x and width 3x-1. Write an expression for the perimeter of the garden and simplify your answer.
10x-2
400
Use the quotient rule and the negative exponent rule to simplify:
(x^2y^4)(3x^5y^5)(2x)
(6x^8y^9)
400
Determine the degree and leading coefficient of the following polynomial:
-x-x^2+1+3x^5
Degree: 5
Leading Coefficeint: 3
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)(7x-4)
49x^2-16
400
The perimeter of a rectangular field is 8x+6. If the length of the field is 2x-1, find an expression to represent the width.
2x+4
500
Use the exponent rules to simplify:
(x^3y^4)^3*(3xy^2)^2
9x^11y^16
500
Determine the degree and leading coefficient of the following polynomial:
-2x^2+4x-3+17x^8
Degree: 8
Leading Coefficient: 17
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