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 |

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