# TSI Math: Recognizing the Correct Factors to Solve an Equation

Which of the following are the solutions to the equation c² – 4c = 12?

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

before even start Okay well math tests are more enjoyable

if we think of them like holidays Yeah we do

that sort of At the very least they're an excuse

to hum classic tunes like holly jolly math test and

a joy to important and plain under our breath You

tried out sometimes when you're bored like you are right

now Yeah we know gain inspiration for this question by

switching the mental record overto a rousing rendition of do

you see what i see squared we want sing right

now C squared minus force equals twelve isn't in the

old standard form so yet we're good here with equal

to zero right Well on the top of our holiday

wish list is for this try no amiel to factor

because the leading coefficient is one would just focus on

the factor pairs of the constant there that negative twelve

thing so we've got well negative one times files one

factor than one times think of twelve getting to positive

six and then nigga screening forward but but but but

so all Right so we're thinking about this The coefficient

of the ex term reveals that the correct factor pair

must add to negative four there's only one way to

do that We get negative six and positive too and

they'll build binomial factors of c minus six and c

plus two you know and like santa and his list

check the factors twice multiply them together to see if

they result in the original equation So when we'll do

this thing you see money sex and people too And

then first time first we got seaside c and then

inside and then the outside is twelve zero c squared

minus forty minus twelve Zero yeah so now that we're

sure we have the correct factories ation we'll just set

each factor equal to zero and solve for c and

we got c money six zero or c equal six

and c plus to a zero So c equals negative

too Even if our math tradition sounded fake is a

hallmark holiday While the solution six and negative two are

enough reason to celebrate its answer B