ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Quadratic and Other Polynomial Expressions, Equations, and Functions Videos 18 videos
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...
Which of the following points is a location where the function f(x) = -2x² + 12x + 54 crosses the horizontal axis?
TSI Math: Finding Solutions to an Equation through Factoring 6 Views
Share It!
Description:
Which of the following are the solutions to the equation -4x² + 2x + 6 = 0?
- Test Prep / TSI
- Intermediate Algebra and Functions / Quadratic and Other Polynomial Expressions, Equations, and Functions
- TSI / TSI Math
- TSI / TSI Mathematics
- TSI Mathematics / Intermediate Algebra and Functions
- Intermediate Algebra and Functions / Quadratic and Other Polynomial Expressions, Equations, and Functions
- Test Prep / TSI
- TSI Math / Intermediate Algebra and Functions
Transcript
- 00:02
Okay sy mass members here we go More expressions equations
- 00:05
functions Which of the following are the solutions to the
- 00:07
equation and negative for x squared plus two x plus
- 00:10
six Oh poor negative for expert plus two x plus
- 00:18
six equals zero Looks a little bloated Helped the equation
Full Transcript
- 00:21
Shed some weight here and let's factor out some well
- 00:24
common factors It's More trouble than it's worth factor with
- 00:27
a negative leading coefficient right Well when negative for x
- 00:30
squared plus two x plus six jumps on the equation
- 00:33
Treadmill The first factor it sweats out is a negative
- 00:36
one there So pull the negative out of each term
- 00:38
by swapping the signs and then that's how we do
- 00:41
it Okay well each coefficient is even so too is
- 00:44
another common factor Let's Move it on out front as
- 00:47
well So we got negative two times This whole thing
- 00:49
in here The extra weight is still hovering around by
- 00:51
both sides of the equation by negative too To shed
- 00:54
it for good If only burning off the dozen donuts
- 00:56
alina here may not have eaten yesterday Were this easy
- 00:59
Don't ask Okay so here we go We got to
- 01:01
x squared minus x minus three is zero Well it
- 01:05
feels good to have a lighter equation to factor and
- 01:07
solved now because what leading coefficient of polynomial is to
- 01:11
the factor to x squared minus Acts minus 3 Well
- 01:16
we'll need to do ah little guessing and checking the
- 01:18
first step of guests and check involves listing all the
- 01:22
factors of the leading term Well in this case we
- 01:25
can guess that the first two terms are ex and
- 01:28
two x The second step is to find the factors
- 01:31
of the constant negative three Well the factors will either
- 01:34
be negative three and one or negative One and three
- 01:38
Right Well now it's Time to do some guessing at
- 01:41
fill in two of the possible factors in the second
- 01:44
term of each of your parentheses There right there Since
- 01:47
we know the outside terms will be multiplied together Well
- 01:49
it's probably a better idea to put a three on
- 01:51
the inside term since we know we're aiming for a
- 01:54
middle term of negative one acts right there Multiplying this
- 01:58
out using foil Get following The first two terms will
- 02:01
multiply two to x squared No surprise there The two
- 02:05
outside terms multiply to be positive Two Acts while the
- 02:08
2 inside terms will apply to a negative three x
- 02:11
and our final term yes is negative three Well again
- 02:14
no Surprise on that last one right there Yeah combined
- 02:17
like terms to see that we've actually hit the nail
- 02:20
on the head out with our first guests Well now
- 02:23
that the equations factored either to x minus three or
- 02:26
x plus one must equal zero for the entire equation
- 02:30
equals zero so we just set Each factor equals zero
- 02:33
and solve here so to x minus three zero two
- 02:35
exes three exes three halves or x plus one a
- 02:39
zero and x is negative one Well after only a
- 02:41
few minutes of solving the equation is cleansed of the
- 02:44
solutions so x equals three halves and x equals negative
- 02:48
one So that's a that's Our answer And we're going
- 02:52
to go look lovingly at the new crispy cream discount 00:02:55.02 --> [endTime] coupon ad Hello
Related Videos
Which is the best way to revise and combine sentences 1 and 2?
Where would the following sentence best be placed?
Which of the following is best to insert at the beginning of sentence 8?
Which is the best location for sentence 9?
Which of the following sentences is best to insert between sentences 11 and 12?