TSI Math: Factoring Trinomials
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Factor completely.
9n2 + 15n + 4
Intermediate Algebra and Functions | Quadratic and Other Polynomial Expressions, Equations, and Functions |
Mathematics and Statistics Assessment | Quadratic and Other Polynomial Expressions, and Functions |
Product Type | TSI |
TSI | Mathematics and Statistics Assessment TSI Math TSI Mathematics |
TSI Math | Intermediate Algebra and Functions |
TSI Mathematics | Intermediate Algebra and Functions |
Test Prep | TSI |
Transcript
crowd the prankster tricks You're the one who finds plastic
vomit hilarious on this test the jokester is the expression
nine in squared plus fifteen in plus four Why Well
the first and last terms are perfect squares So this
try No mia leads us to believe it's A perfect
square Trying amelia makes it easier to factor Check for
hand buzzers before grabbing onto this form to be a
perfect square Trying no menial the middle term must be
twice the product of the square root of the end
terms In other words it should be two times quantity
three times two right there equals twelve in So fifteen
in does not equal twelve ends of the cord Erratic
isn't actually a perfect square Try no meal Very funny
So well we could get rid of a immediately Well
ignore the jokes here A math joke Sorry It's A
lower standards and treat The expression is just a normal
expression while to factor a try no meal who's leading
coefficient isn't one So you gotta find factors of well
nine times for equal Thirty six And somehow these have
tto add two fifteen which is the coefficient in the
middle term Well what those factors while three times twelve
is thirty six and three plus twelve is fifteen So
rewrite fifteen n as three n plus twelve in and
no joke they have the same value so the replacement
is completely allowable See how that works So that gives
us nine squared plus fifteen in plus four is our
starting point Then we've got nine in squared plus three
and plus twelve in plus for group The first two
terms in the last two terms and factory g c
f out of the group and it looks like this
Nine in squared plus three and that quantity plus twelve
in plus four So then we got three and pulled
out here and they got three and plus one plus
for three in plus one Well the two term share
of greatest common factor of three and plus one there
and just factored out from both terms like any other
G c f and that gets us three end times
Quantity three and plus one plus four times quantity three
plus one and that boils down to three and plus
one times quantity three and plus for the correct factory
ization then is the quantity Three in plus one times
quantity three and plus ford and that's it We're done 00:02:25.575 --> [endTime] it See that's the right answer See you later