Exponent Rules
Use the product rule for exponents to multiply:
4x^3*5x^2
20x^5
Is the following polynomial a monomial, binomial, or trinomial?
-10x^2
monomial
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+4)
-6x^2-12x
Use the quotient rule for exponents to divide:
(y^5)/(y^3)
y^2
Is the following polynomial a monomial, binomial, or trinomial?
2xy-3x^2y+5
trinomial
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.
(3x)(6x+2)
18x^2+6x
Use the power rule to simplify:
(x^2yz^3)^2
x^4y^2z^6
Is the following polynomial a monomial, binomial, or trinomial?
-4x^4+3x^2-x
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.
(3x+1)(2x+4)
6x^2+14x+4
Use the quotient rule and the negative exponent rule to simplify:
(8x^5y^5)/(2x^2y^4)
(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.
(3x+4)(3x-4)
9x^2-16
Use the exponent rules to simplify:
(x^3y^4)^3*(xy^2)^2
x^11y^16
Is the following polynomial a monomial, binomial, or trinomial?
-10x
monomial
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+3)(x+6)
2x^2+15x+18