Like what you saw?
Create FREE Account and:
 Watch all FREE content in 21 subjects(388 videos for 23 hours)
 FREE advice on how to get better grades at school from an expert
 Attend and watch FREE live webinar on useful topics
Introduction to Polynomials  Problem 1
Carl Horowitz
Carl Horowitz
University of Michigan
Runs his own tutoring company
Carl taught upperlevel math in several schools and currently runs his own tutoring company. He bets that no one can beat his love for intensive outdoor activities!
Polynomials; so in this particular problem we are just going to deal a little bit with some language and some specifics by polynomials. So up here I have g(x) which is a polynomial and the first thing we are asked is to state the degree of each term.
So basically that’s just the power on x of these term. So just looking at here we have a degree 2 degree 1, x is just x to the first. Here we have x² and x so we can actually combine those. Remember when we multiply our bases we can add our exponents so this actually can be combined to be x³ which is the same thing as a third degree.
Here is a constant term, so there is no x, x to 0 so the degree on this term is a 0 and lastly x² is a degree here is 2, okay easy enough. Let us take the degree of g(x) the entire polynomial. So for this one we just look at the degree of the largest term. So for that one we have a 2, 1, 3, 0 and 2, our largest degree is 3. So the degree of the whole polynomial is 3.
Common mistake is to wanting to add up all these numbers together. Don’t just look at the term of the highest power.
Then it says write the degree in descending order, so descending order is when we write it from highest degree to lowest degree, so looking at it our third degree is going to go first. So we'll just have g(x) is equal to 8x³.
Now we have a second degree we have a second degree 7x² and 4x² we can combine like terms so this becomes 11x² then we go to our first degree 5x and lastly our constant term minus 8. So just looking at our polynomial talking a little bit about degrees and descending order how we organize everything.
Please enter your name.
Are you sure you want to delete this comment?
Carl Horowitz
B.S. in Mathematics University of Michigan
He knows how to make difficult math concepts easy for everyone to understand. He speaks at a steady pace and his stepbystep explanations are easy to follow.
i love you you are the best, ive spent 3 hours trying to understand probability and this is making sense now finally”
BRIGHTSTORM IS A REVOLUTION !!!”
because of you i ve got a 100/100 in my test thanks”
Get Peer Support on User Forum
Peer helping is a great way to learn. Join your peers to ask & answer questions and share ideas.
Concept (1)
Sample Problems (6)
Need help with a problem?
Watch expert teachers solve similar problems.

Introduction to Polynomials
Problem 1 4,207 viewsg(x) = 7x² + 5x + 8x²x  8 + 4x²
State the degree of each term.State the degree of g(x).Write in descending order. 
Introduction to Polynomials
Problem 2 709 views 
Introduction to Polynomials
Problem 3 629 views 
Introduction to Polynomials
Problem 4 629 views 
Introduction to Polynomials
Problem 5 643 views 
Introduction to Polynomials
Problem 6 674 views
Comments (0)
Please Sign in or Sign up to add your comment.
·
Delete