ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Playlist Polynomials 24 videos
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 2.4 Elementary Algebra 251 Views
Share It!
Description:
Elementary Algebra Drill 2: Problem 4. Factor the expression.
Transcript
- 00:02
Time for your daily dose of Shmoop...this won't hurt a bit.
- 00:06
Factor 4x squared y plus
- 00:08
16xy plus 12x squared plus 48x
- 00:12
And here are the potential answers...
- 00:18
Okay we have ourselves another factoring
Full Transcript
- 00:20
problem. What's the common thread or unit between
- 00:23
all four of these elements? Ahh well, there we've already given you a hint.
- 00:28
Yeah the number 4 part of it. What else?
- 00:31
X. Okay so there's a 4x common to all of these
- 00:36
and we can factor it out to make life oh so much simpler.
- 00:39
We now have an equation that looks like this: 4x times the quantity xy
- 00:44
plus 4y plus 3x plus 12 we have an equation here
- 00:48
a very common form. We can factor this down to the
- 00:52
quantity X plus 4 times the quantity y plus 3.
- 00:56
Here we go. So boom! The answer is B.
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.