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Intermediate Algebra and Functions Videos 36 videos

TSI Math: Understanding Points of Intersection
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Two parabolas are graphed in the coordinate plane. Parabola A is a function, and parabola B is not a function. What is the maximum number of points...

TSI Math: Solving a Quadratic Equation for x
5 Views

What is x for the equation 2x² + 36 = -18x?

TSI Math: Finding a Line's x-Intercept Given a Point on that Line
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Which of the following points is a location where the function f(x) = -2x² + 12x + 54 crosses the horizontal axis?

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TSI Math: Factoring a Difference of Squares 19 Views


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Description:

Factor completely.
12c3 – 27c


Transcript

00:03

Okay Next up two of five in this quadratic landscape

00:07

And the question is factor completely Let's think about it

00:13

Think of factoring is a game of trivia about a

00:16

very living in range of topics and you'll never see

00:19

alex quadratic ce for two hundred yeah doesn't happen Every

00:22

game of factoring begins with a round of identify the

00:26

g c f or greatest common factor quick hit that

00:29

buzzer already three c so let's pull out three c

00:31

right away and we get three seat times foresee squared

00:35

minus nine Ok interesting So now we've got a four

00:39

c squared minus nine Note that four and nine there

00:42

are perfect squares We'll only three commonly used words in

00:45

the english language Have a double u that's a u

00:49

u not a w This expression has some doubles too

00:52

in the form of identical factors for c squared here

00:55

factors toe to see times to see and nine equals

00:58

three three squared Well when two perfect squares they're subtracted

01:02

from one another The expression is called a shockingly difference

01:05

of two squares That's what it's called sexually a thing

01:08

The general formula for factoring a difference of two squares

01:10

is a squared minus B squared equals a plus b

01:13

a minus b this format right Here so a stands

01:15

for the factors of foresee squared which are to see

01:18

and b equals three right Use the general form to

01:21

a factor The expression here So we've got three c

01:24

times quantity to see plus three and then to see

01:27

ministry just like that The fact is that we factored

01:30

this expression into three c times equality thing Alright let's 00:01:34.553 --> [endTime] be we're done

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