Exponent Rules
Classifying Polynomials
Adding & Subtracting Polynomials
Multiplying Polynomials
Dividing Polynomials
100
Use the product rule for exponents to multiply:
(4x^3y^3)(-5x^2y^8)
-20x^5y^11
100
Determine the degree of the following polynomial:
-3x^2y+5x-1
Degree: 3
100
Add and write your final answer in standard form.
(2+4x^2-5x^3-4x)+(-4x^2+9x-13+x^4)
x^4-5x^3+5x-11
100
Multiply the polynomials. Write your final answer in standard form.
-3x(2x^2+4)
-6x^3-12x
100
(-25x^4y^3+30x^2y^5)/(-4xy^3)
5x^2y^2-6xy^4
200
Use the quotient rule for exponents to divide:
(-16x^2y^5)/(-4xy^3)
4xy^2
200
What is the leading term?
2x^4-6x^5+4x^2
-6x^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
(40x^2-8x)/(8x)
5x-1
300
Use the power rule to simplify:
(4x^2yz^3)^2
16x^4y^2z^6
300
Classify the polynomial by its degree and the number of terms:
-4x^4+3x^2-x
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
Multiply the polynomials. Write your final answer in standard form.
(4x-1)^2
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
Use the quotient rule and the negative exponent rule to simplify:
(2x^-9y^7)/(8x^-4y^12)
(1)/(4x^5y^5)
400
Classify the polynomial by its degree and the number of terms:
3x^2-x
Quadratic binomial
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
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
Use the exponent rules to simplify:
(x^3y^4)^3*(3xy^2)^2
9x^11y^16
500
What is the constant of the polynomial?
-2xy^2+4xy-3y^2+1
1
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