Classifying Polynomials
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
Divide the following polynomials:
(x^2 + 5x + 6)/(x+2)
x + 3
Use the following functions to answer the question.
What is f(g(2))?
f(x) = x^2 + 1
g(x) = 3x - 7
h(x) = (x-2)/3
f(g(2))= 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
Use the quotient rule for exponents to divide:
(x^2y^5)/(xy^3)
xy^2
Use the following functions to answer the question.
What is g(h(x))?
f(x) = x^2 + 1
g(x) = 3x - 7
h(x) = (x-2)/3
g(h(x)) = x - 9
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
Divide the following polynomials:
(n^3 +13n^2 +42n + 54)/(n + 9)
n^2 + 4n + 6
Use the following functions to answer the question.
What is the inverse of f(x)?
f(x) = x^2 + 1
g(x) = 3x - 7
h(x) = (x-2)/3
f^-1(x) = sqrt(x - 1)
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
Divide the following polynomials using long or synthetic division:
(m^2 - 7m - 11)/(m-8)
m + 1 - 3/(m-8)
Use the following functions to answer the question.
What is the inverse of h(x)?
f(x) = x^2 + 1
g(x) = 3x - 7
h(x) = (x-2)/3
h^-1(x) = 3x + 2
Classify the polynomial by its degree and the number of terms:
-2xy^2+4xy-3y^2+1
Cubic Polynomial with 4 Terms
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
Divide the following polynomials using long or synthetic division:
(p^3 - 10p^2 + 20p + 26)/(p - 5)
p^2 -5p -5 + 1/(p-5)
Use the following functions to answer the question.
What is h(g(f(2)))?
f(x) = x^2 + 1
g(x) = 3x - 7
h(x) = (x-2)/3
h(g(f(2))) = 2