Exponent Rules
Use the product rule for exponents to multiply:
4x^3*5x^2
20x^5
Factor the following polynomial:
9x^2-64
(3x-8)(3x+8)
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.
5x^2(x-4)
5x^3-20x
Divide the polynomials and write you answer in standard form.
x2-x-29; x-6
x+5+1/(x-6)
Use the quotient rule for exponents to divide:
(x^2y^5)/(xy^3)
xy^2
Factor the following polynomial completely:
2x^2-50
2(x+5)(x-5)
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
Divide the polynomials and write you answer in standard form.
x3-10x2+20x+26; x-5
x^2-5x-5+1/(x-5)
Use the power rule to simplify:
(4x^2yz^3)^2
16x^4y^2z^6
Factor the following polynomial completely:
-x^2-3x-2
-(x+2)(x+1)
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
Find all of the zeros.
x^3-3x^2-9x+27; x-3
{-3, 3 MULTI.2}
Use the quotient rule and the negative exponent rule to simplify:
(2x^2y^4)/(8x^5y^5)
(1)/(4x^3y)
Factor the following polynomial completely:
-3x^2-18x+21
-3(x+7)(x-1)
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
Find all of the zeros
5x^3+9x^2=26x-24; x+3
{-4/5, 2,-3}
Use the exponent rules to simplify:
(x^3y^4)^3*(3xy^2)^2
9x^11y^16
Factor the following polynomial completely:
5x^2-18x+9
(5x-3)(x-3)
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
Find all the zeros.
x^4+3x^3-13x^2-15x; x-3
{0,-1,-5,3}