Exponent Rules
Use the product rule for exponents to multiply:
4x^3*5x^2
20x^5
Determine the degree of the following polynomial:
-3x^2+5x-1
Degree: 2
Add the following polynomials. Write your final answer in standard form.
(4x^2+4)+(19x^2-7)
23x^2-3
Multiply the polynomials. Write your final answer in standard form.
-3x(2x^2+4)
-6x^3-12x
Use the quotient rule for exponents to divide:
(x^2y^5)/(xy^3)
xy^2
What is the degree and name to classify this polynomial?
3x^3-3x^2+x+7
Degree: 3 Classify: Cubic
Add the following polynomials. Write your final answer in standard form.
(13x^2y-2x+1)+(9x^2y-7)
22x^2y-2x-6
Multiply the polynomials. Write your final answer in standard form.
(9x+1)(6x+2)
54x^2+24x+2
Use the power rule to simplify:
(4x^2yz^3)^2
16x^4y^2z^6
What would the end behavior of this polynomial be?:
-4x^4+3x^2-x
x -> ∞
f(x)-> -∞
x -> -∞
f(x) -> -∞
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
Multiply the polynomials. Write your final answer in standard form.
(4x-1)^2
16x^2-8x+1
Use the quotient rule and the negative exponent rule to simplify:
(2x^2y^4)/(8x^5y^5)
(1)/(4x^3y)
What are the maximum number of turns for this polynomial?
4x^4+2x^3-5x
Max turns: 3
Subtract the following polynomials. Write your final answer in standard form.
(3x+2)-(11x-6)
-8x+8
Multiply the polynomials. Write your final answer in standard form.
(7x+4)(7x-4)
49x^2-16
Use the exponent rules to simplify:
(x^3y^4)^3*(3xy^2)^2
9x^11y^16
Where is this graph increasing and decreasing (Put the equation in Desmos):
x^3-4x
Inc: (-∞ , -1.155) U (1.155, ∞)
Dec: (-1.155,1.155)
Subtract the following polynomials. Write your final answer in standard form.
(x^2-x+4)-(x^2+x-2)
-2x+6
Multiply the polynomials. Write your final answer in standard form.
(2x-5)(3x^2-x+6)
6x^3-17x^2+17x-30