ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Factoring Polynomials Videos 14 videos
There are a variety of methods for factoring trinomials, Complete the square! Use the quadratic formula! Or be a genius and do it in your brain!
Factoring polynomials allows us to group things—and everything's always better in groups. Well... almost everything.
Factoring polynomials by grouping is easy. You just combine like terms and then factor them out. Ta da!
ACT Math 1.2 Elementary Algebra 272 Views
Share It!
Description:
ACT Math: Elementary Algebra Drill 1, Problem 2. Can you simplify the expression?
- Elementary Algebra / Simplifying expressions
- Product Type / ACT Math
- Foreign Language / Arabic Subtitled
- Foreign Language / Spanish Subtitled
- Foreign Language / Chinese Subtitled
- Foreign Language / Korean Subtitled
- Algebra / Use polynomial identities to solve problem
- Algebra / Use polynomial identities to solve problems
- Elementary Algebra / Understanding algebraic operations
Transcript
- 00:03
Here's your shmoop du jour... extra crackers...free. Simplify: 5y plus 2z plus 3x squared minus
- 00:11
the quantity 2y minus 2z plus 4x And here are the potential answers...
- 00:19
OK so what is this question asking?
- 00:23
Well, this one is really just a gnarly simplification problem. So... put on your simplifyin' pants.
- 00:32
If we take them one by one, we have a positive 3x squared which we'll just leave as is
Full Transcript
- 00:36
-- not much we can do to simplify it.
- 00:41
Which incidentally takes out D and E as options.
- 00:44
So now distribute this negative sign and rewrite the problem and we have
- 00:48
3x squared plus 5y plus 2z minus 2y PLUS 2z minus 4x.
- 00:55
Now we can combine like terms to get 3x squared plus 3y plus 4z minus 4x...
- 01:01
...so the answer is C.
- 01:03
As in, "Can't believe it's not butter."
Related Videos
CAHSEE Math: Algebra I Drill 6, Problem 2. Simplify the polynomial.
ACT Math: Plane Geometry Drill 3, Problem 1. What is the area of the trapezoid shape in the video?
ACT Math: Coordinate Geometry Drill 1, Problem 1. Which inequality is expressed by the number line?
ACT Math: Intermediate Algebra: Drill 3, Problem 1. Find the fifth number in the series.