Exponent Rules
Classifying Polynomials
Adding & Subtracting Polynomials
Multiplying Polynomials
Division & Polynomial Area
100
Use the product rule for exponents to multiply:
4x^3*5x^2
20x^5
100
Classify the polynomial by its degree and the number of terms:
-3x^2
Quadratic Monomial
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 quotient rule for exponents to divide:
(20x^2y^5)/(5xy^3)
4xy^2
200
Classify the polynomial by its degree and the number of terms:
-4x^4+3x^2-xy
Quartic Trinomial
200
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
200
Multiply the polynomials. Write your final answer in standard form.
(9x+1)(6x+2)
54x^2+24x+2
200
Divide the polynomial by the monomial.
(12xy^2+6xy-10x^2y)/(2xy)
6y+3-5x
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:
2xy-3x^2y
Cubic Binomial
300
Add the following polynomials. Write your final answer in standard form.
(13x^2y-2x+1)+(9x^2y-7)
22x^2y-2x-6
300
Multiply the polynomials. Write your final answer in standard form.
(4x-1)^2
16x^2-8x+1
300
The area of a rectangle is length times width. Determine the area of the shaded region in terms of x.
x^2+8x+7
400
Use the quotient rule and the negative exponent rule to simplify:
(2x^2y^4)/(8x^5y^-5)
(1y^9)/(4x^3)
400
Classify the polynomial by its degree and the number of terms:
3x^4y-x^2
Quintic 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
Divide the polynomial by the monomial.
(2a^5b^2-12a^4b^8)/(2a^2b^9)
(a^3/b^7)-((6a^2)/b)
500
Use the exponent rules to simplify:
(x^3y^4)^3*(3xy^2)^-2
(x^7y^8)/9
500
Classify the polynomial by its degree and the number of terms:
-2x^4y^2+4x^2y-3y^2+1
6th Degree Polynomial
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. (A = L x w)
66x^3+40x^2+24x