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PSAT 1.39 Math Diagnostic 184 Views
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Description:
PSAT 1.39 Math Diagnostic. Which of the following is equivalent to this expression?
Transcript
- 00:00
Sorry And here's your shmoop du jour brought to you
- 00:05
by birthday clowns Don't worry about it when you see
- 00:08
one of them crying in his van after the party
- 00:10
That's just how clowns express joy which of the following
- 00:14
is equivalent tio this times this and here the potential
Full Transcript
- 00:18
answers ugly All right well this is the type of
- 00:21
problems we like to call a birthday clown It looks
- 00:25
terrifying at first but once you give it a chance
- 00:27
well it's not so bad This thing is seriously ugly
- 00:29
though and we can pretty it up with minimal effort
- 00:33
Really just a factoring exercise Each of these polynomial can
- 00:36
be broken down and factored And once we've done that
- 00:39
we'll be able to cancel out numbers like nobody's business
- 00:42
So yeah let's get started a sap so we don't
- 00:44
have to look at this thing anymore The polynomial in
- 00:47
the numerator on the left hand side x squared minus
- 00:49
for x minus twelve will factor into the quantity x
- 00:53
minus six and the quantity x plus two the other
- 00:55
numerator x squared plus two x minus fifteen factors into
- 01:00
the quantity x plus five and quantity x minus three
- 01:03
Well first denominator x squared plus seven x plus ten
- 01:07
factories into the quantity x plus five and quantity x
- 01:10
plus two and finally the other denominator x squared minus
- 01:14
eight Acts plus 12 factor's india the quantity x minus
- 01:17
six and the quantity x minus two remember the key
- 01:20
is to think of the possible factors of the last
- 01:22
term in the polynomial and then think about how you
- 01:25
could get to that middle term by either subtracting or
- 01:28
adding those factors together Well things get slightly trickier when
- 01:32
there's a coefficient other than one in front of the
- 01:34
first term But fortunately we don't have to worry about
- 01:36
that here So for example with the first polynomial we
- 01:39
know twelve is gonna factor into twelve and one and
- 01:43
six and two or four and three but only by
- 01:47
factoring into six and two can we get to the
- 01:49
four coefficient of the ex term And just like that
- 01:53
we're starting to see all this nastiness melt away Yeah
- 01:56
it's just like the end of frozen Now comes the
- 01:59
easy and fun part because we're multiplying these two fractions
- 02:03
together we can simplify from one uber long numerator and
- 02:07
one uber Long denominator and then cancel anything we see
- 02:11
on both top and bottom which is just about everything
- 02:13
right So the x minus six goes the x plus
- 02:16
two goes and the expos five is out of here
- 02:19
as well leaving just ex ministry over x minus two
- 02:23
which can't be simplified any further and conveniently enough That's
- 02:26
option a Okay so maybe you do your next birthday
- 02:29
at six flags Instead you're getting too old for clowns 00:02:31.97 --> [endTime] anyway Boy there he goes
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