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
Using Synthetic Division to Evaluate Polynomials  Problem 2
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!
Using synthetic division to evaluate a polynomial; so for this particular example we are looking at a third degree polynomial, a cubic polynomial, and we’re asked to find p of 2.
So we could just plug it for all the xs and just see what we’ve come up with, but what I want to do is explain how we can use synthetic division to do the same exact thing. So what we do is we make a giant bracket, the number that goes on the outside is the same exact number as we are trying to plug in in the first place. So we put 2 on the outside and then in descending order, we write the coefficients of the polynomial we’re looking at so in this case we have 1, 6, 3 and there is no constant term in this polynomial so we need to throw in a 0 as a place keeper, every single degree needs to be represented.
From here we drop down our first number, 1 multiply 2 times 1 and our answer goes below the next number and add so 6 plus 2, 4 and then continue. 2 times 4 is negative 8, 3 plus 8, 5, 2 times 5 is 10 and our last number is 10.
When we do this, the only thing we’re actually concerned with is the remainder. We go through this whole process just to get this last number and that is actually our answer. Pretty easy no taking big powers just simple addition and multiplication in order to evaluate the polynomial.
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.
Sample Problems (4)
Need help with a problem?
Watch expert teachers solve similar problems.

Using Synthetic Division to Evaluate Polynomials
Problem 1 3,664 viewsGiven P(x) = x² − 3x + 4
Find P(2). 
Using Synthetic Division to Evaluate Polynomials
Problem 2 3,277 viewsGiven P(x) = x³ + 6x² + 3x
Find P(2). 
Using Synthetic Division to Evaluate Polynomials
Problem 3 468 views 
Using Synthetic Division to Evaluate Polynomials
Problem 4 498 views
Comments (0)
Please Sign in or Sign up to add your comment.
·
Delete