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
Polynomial Function  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!
Adding and subtracting polynomial functions so when we add and subtract polynomial functions it’s just like adding and subtracting anything else we have throughout. Basically we want to combine like terms. So this is a different notation where we see that the two parenthesis around f and g and then x basically this is the same, the exact same thing as f(x) plus g of x. Don’t let the parenthesis throw you off it's just a different way of writing it, in general when I see something like this I will almost always rewrite it to this form because this makes a lot more sense to me.
So now we just have a f(x) plus g(x) we are adding two things together f(x) is just this x² minus 7x plus 2, g(x) is just 8x minus 4, combine like terms so we only have one x² so that’s going to stay there my 7x plus 8x turns into plus x, plus 2 minus 4 turns into 2.
The main thing is just interpreting what this means which is just f plus g. Okay, same idea over here if we are subtracting. Again don’t let the parenthesis throw you off this is just the same thing as g(4) minus f(4).
We know how to find g(4) just plug in 4 into g so this becomes 8 times 4 minus 4, turns into 32 minus 4 which is 28, f(4) plugging in 4 again so we end up with 4² minus 7 times 4 plus 2, so that’s 16 minus 28 plus 2 16 minus 28 is 12 –plus 2 is 10 and we are subtracting, so we got this little mess right here.
Make sure you distribute this minus sign through, so 28 minus 10 turns into plus a positive which ends up being 38. So again by rewriting our polynomial our difference in the two things we can subtract it out, always making sure that you distribute the negative sign if you have to.
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”
Concept (1)
Sample Problems (11)
Need help with a problem?
Watch expert teachers solve similar problems.

Polynomial Function
Problem 1 4,276 viewsGiven f(x) = x² − 7x + 2 and g(x) = 8x − 4
Find (f + g)(x)Find (g − f)(4) 
Polynomial Function
Problem 2 799 views 
Polynomial Function
Problem 3 643 views 
Polynomial Function
Problem 4 675 views 
Polynomial Function
Problem 5 586 views 
Polynomial Function
Problem 6 637 views 
Polynomial Function
Problem 7 592 views 
Polynomial Function
Problem 8 634 views 
Polynomial Function
Problem 9 696 views 
Polynomial Function
Problem 10 599 views 
Polynomial Function
Problem 11 655 views
Comments (0)
Please Sign in or Sign up to add your comment.
·
Delete