Exponent Rules
Classifying Polynomials
Adding & Subtracting Polynomials
Multiplying Polynomials
Polynomial Applications
100
Use the product rule for exponents to multiply:
x^2*x^4
x^6
100
Determine the degree, leading coefficient and constant term of the following polynomial:
-3x^2+5x-1
Degree: 2, Leading Coefficient: -3, Constant Term: -1
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 sides. Write the expression that represents the perimeter of the rectangle.
14x-6
200
Use the quotient rule for exponents to divide:
(y^7)/(y^4)
y^3
200
Is the following polynomial a monomial, binomial, or trinomial?
2x-3x^3
Binomial
200
Subtract the following polynomials. Write your final answer in standard form.
(3x+2)-(11x-6)
-8x+8
200
Multiply the polynomials. Write your final answer in standard form.
(x+3)(x+2)
x^2+5x+6
200
Recall that the area of a figure can be found by multiplying the length and width. Write the expression that represents the area of the rectangle.
10x^2-6x
300
Use the power rule to simplify:
(4x^2y)^2
16x^4y^2
300
Classify the polynomial by its degree and the number of terms:
-4x-1
Linear Binomial
300
Simplify the following expressions. Write your final answer in standard form.
(13x^2-2x+1)+(9x^2+7)
22x^2-2x+8
300
Multiply the polynomials. Write your final answer in standard form.
-4y^3(3y^5-2y)
-12y^8+8y^4
300
Write the expression that represents the perimeter of the rectangle.
10x+4
400
Use the quotient rule to simplify:
(8x^5y^6)/(2x^2y^5)
4x^3y
400
Name the polynomial by its degree and the number of terms. What is the degree? How many terms? Leading coefficient? Constant term?
5x-x^2+8
Quadratic Trinomial, Degree: 2, Number of terms: 3, Leading coefficient: -1, Constant term: 8
400
Simplify the following expression. Write your final answer in standard form.
(-x^3+8x^2-5)-(10x^3-x^2+1)
-11x^3+9x^2-6
400
Multiply the polynomials. Write your final answer in standard form.
(7x+4)(7x-4)
49x^2-16
400
Write the expression that represents the area of the rectangle.
64x^2-1