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GED Math 2.2 Expression and Equations. If a shirt is on sale for $12 then how much did it cost before the sale?
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GED Math 3.5 Graphs and Functions 309 Views
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GED Math: Graphs and Functions Drill 3, Problem 5. What is the negative root of the quadratic function?
- Functions / Analyze functions using different representations
- Functions / Analyze functions using different representations
- Functions / Construct and compare linear, quadratic and exponential models
- Functions / Construct and compare linear, quadratic, and exponential models
- Functions / Analyze functions using different representations
- Functions / Construct and compare linear, quadratic, and exponential models
- Functions / Analyze functions using different representations
- Functions / Analyze functions using different representations
- Functions / Construct and compare linear, quadratic, and exponential models
- Skill Area 4 / Graphs and Functions (Algebraic)
Transcript
- 00:00
Thank you We sneak in and here's your smoke toos
- 00:05
your brought to you by negative roots there Not a
- 00:08
fan of the latest dye job What's The negative route
- 00:12
of the quadratic function F of x equals two x
- 00:15
squared plus nine x minus thirty five And here the
Full Transcript
- 00:18
potential answer All right so this problem wants us to
- 00:23
find a negative route of a given function All right
- 00:26
well we should start by factoring the suckers Get it
- 00:29
its roots All right Well the first thing that shouldn't
- 00:32
jump out at us is the two coefficient in front
- 00:34
of our x squared term there Why Well because instead
- 00:38
of looking for two numbers that multiply to give us
- 00:40
negative thirty five like we usually would we instead need
- 00:44
two numbers that multiply to give us negative seventy court
- 00:48
two times as much to remember Those two numbers need
- 00:51
tto add up to nine match our middle term narrowing
- 00:55
our options here Good thing Well we've got ten and
- 00:59
negative seven or negative Ten and positive seventh but neither
- 01:04
of those was a nun Well what about negative fourteen
- 01:08
Five Who Closer Well there's no combination and negative Fourteen
- 01:11
and five It gives us nine But if we switch
- 01:14
the minus sign to the other guy while fourteen plus
- 01:17
negative five totally adds up to nine Now we can
- 01:20
factor way Start with f ax equals two x squared
- 01:22
plus fourteen x minus five x minus thirty five and
- 01:26
new little grouping to get f of x equals two
- 01:29
acts times the quantity x plus seven minus five times
- 01:33
the quantity x plus seven Then we factor we explosive
- 01:36
from both terms and we get f of x equals
- 01:39
the quantity to x minus five times the quantity x
- 01:41
plus seven go now it could solve for both routes
- 01:45
but we only want the negative one here The first
- 01:48
set of prints sees is going to lead us to
- 01:49
a positive number so we just zero in on the
- 01:52
second one and if x plus seven equals zero and
- 01:56
Acts would equal negative 7 answer choice eh We're pretty
- 02:00
proud of ourselves for attacking this problem so ruthlessly No
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