ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Powers, Roots, and Radicals Videos 14 videos
Numbers have friends in high places: they're called powers. And yes, they are powerful. They can make a single digit number turn into a 10 digit nu...
Exponents desperately want to be like regular ol' numbers—so it figures they also want to be multiplied and divided.
TSI Math: Factoring a Multivariable Trinomial 3 Views
Share It!
Description:
Factor completely.
3x² + 4xy – 4y²
- Intermediate Algebra and Functions / Expressions, Equations, and Functions Involving Powers, Roots, and Radicals
- Test Prep / TSI
- TSI / TSI Math
- TSI / TSI Mathematics
- Intermediate Algebra and Functions / Expressions, Equations, and Functions Involving Powers, Roots, and Radicals
- TSI Mathematics / Intermediate Algebra and Functions
- Test Prep / TSI
- TSI Math / Intermediate Algebra and Functions
Transcript
- 00:03
Okay sy mash bumpers Next up Two words for you
- 00:07
Factor completely That's beef flank The new james bond movie
- 00:13
titles So let's just dive right in Well there are
- 00:16
legends about its existence stories of unicorns dragons But nothing
- 00:20
is prepared us for the sighting of a creature as
Full Transcript
- 00:22
elusive as the multi variant Try no meal That's what
- 00:25
that thing is face the ferocious creature by attacking the
- 00:28
variables first Well the x squared the y squared terms
- 00:31
break into their individual factors of x times x and
- 00:34
white times Why Pretty easily there right Well placing the
- 00:37
variables in the first and last terms And each binomial
- 00:39
naturally creates the x y term in the middle of
- 00:42
the tri no meal while unlike the heads of the
- 00:44
infamous greek hydra the regrown variables of this flavour Good
- 00:48
Okay last term is negative so that by no meals
- 00:51
must have opposite signs Okay so see this is minus
- 00:55
and that's a plus thinking Yeah well the coefficients of
- 00:57
the tri no meal or handled as usual The first
- 00:59
coefficient is a prime and has only two factors One
- 01:02
and three in the last coefficient for their has factor
- 01:04
Pairs of one and four in two and two Right
- 01:06
Well start With little trial and error to find the
- 01:08
right combo here nobody gets this right off the bat
- 01:11
usually and let's try on all three Acts and money's
- 01:14
4 times x plus y is that work Well Is
- 01:16
the proposed factor pair valiant enough to pass the first
- 01:19
trial Well it's multiply the binomial tze and find out
- 01:22
so we got three exponents for why'd times x plus
- 01:25
y so inside and an outside then we had the
- 01:27
middle Remember how all that works so let's Think about
- 01:29
this gives us three acts times quantity x plus y
- 01:33
minus for why Tens quantity x plus y we've got
- 01:37
three x squared plus three x y bonnie's for x
- 01:39
y minus four y squared and yeah that gets us
- 01:42
three expert minus x y monies for y squared b
- 01:46
there that one's close but it's not quite right Switching
- 01:49
the signs makes the middle term positive See the positive
- 01:52
one there and switching the placement of the four and
- 01:55
the one makes the middle term too large We can't
- 01:58
do that So strategy change Send the factor pair two
- 02:01
times two in the battle instead So what we have
- 02:03
here Well Let's see we've got dead this x and
- 02:06
that's Why i'm thinking all right so we got three
- 02:07
explaining to why times x plus two why and that
- 02:11
pull out the three x there and that gets us
- 02:13
x plus two y minus two times exposed to why
- 02:16
and then the factors there Three x squared plus six
- 02:19
wide minus two Excellent on movements that kid says three
- 02:22
x squared plus for x y minus four y squared
- 02:25
Yeah there we go make like hercules and be proud
- 02:27
are great mathematical feats Leave us with the factors Three
- 02:30
x minus two why and Acts plus 2 like so
- 02:34
the answer is d
Related Videos
Which is the best way to revise and combine sentences 1 and 2?
Where would the following sentence best be placed?
Which of the following is best to insert at the beginning of sentence 8?
Which is the best location for sentence 9?
Which of the following sentences is best to insert between sentences 11 and 12?