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 - Quadratic
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
(24x^3-42x^2-6x)/(6x)
-2x^2+7x-1
Use the quotient rule for exponents to divide:
(x^2y^5)/(xy^3)
xy^2
Is the following polynomial a monomial, binomial, or trinomial?
2xy-3x^2y
Binomial
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
(4x^3-10x^2+2x)/(2x)
2x^2-5x+1
Use the power rule to simplify:
(4x^2yz^3)^2
16x^4y^2z^6
Classify the polynomial by its degree and the number of terms:
-4x^4+3x^2-x
Quartic Trinomial
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
(12x^2y^3+18xy)/(6xy)
2xy^2+3
Use the quotient rule and the negative exponent rule to simplify:
(2x^2y^4)/(8x^5y^5)
(1)/(4x^3y)
Classify the polynomial by its degree and the number of terms:
3x^2-x
Quadratic binomial
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
(27c^4d^7+15c^3d^5)/(3c^2d^3)
9c^2d^4+5cd^2
Use the exponent rules to simplify:
(x^3y^4)^3*(3xy^2)^2
9x^11y^16
Classify the polynomial by its degree and the number of terms:
-2y^3+4y-3y^2+1
Cubic Polynomial
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
(30a^6b^3+12a^4b^2-15a^2b)/(3a^2b)
10a^4b^2+4a^2b-5