ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


PSAT Math Videos 44 videos

Secret Ingredients
391 Views

PSAT 1.3 Math Narrative Walkthrough. How many full packages of secret ingredient does the company have to buy to make one 50-gallon batch?

PSAT 1.9 Math Diagnostic
197 Views

PSAT 1.9 Math Diagnostic. What is the maximum size widescreen TV Abby can purchase?

PSAT 1.36 Math Diagnostic
170 Views

PSAT 1.36 Math Diagnostic. If f represents the cost of his food, which of the following represents Jasper's order?

See All

PSAT 1.32 Math Diagnostic 177 Views


Share It!


Description:

PSAT 1.32 Math Diagnostic. Which of the following is equivalent to this quantity?


Transcript

00:00

Sorry And here's your shmoop du jour brought to you

00:04

by ducks more and more of them these days Or

00:07

stopping to make sure the bread crumbs thrown to them

00:09

are gluten free You know that which of the following

00:13

is equivalent to the quantity x minus seven times quantity

00:16

three x plus six times the quantity x squared minus

00:19

four x minus five and hear the bench lands Well

00:23

looks like solve this one We're gonna have tio consume

00:27

mass quantities Cone heads know the pointy headed close with

00:32

Yeah like we're old Well let's just take a look

00:35

at the first two parts and princes and multiply those

00:37

together For starters we can worry about the third one

00:40

in a bit We're gonna multiply through x minus seven

00:43

and three Acts plus 6 so we get three x

00:46

squared plus six x minus twenty one x minus forty

00:49

two Combine our ex terms and that's improvised three x

00:52

squared minus fifteen x minus forty two All right now

00:55

we'll introduce that last part back into our lives Like

00:58

you never left this one's a bit more complex but

01:01

it follows the same general principle we need to take

01:04

The first term in the first polynomial multiply it by

01:07

the first term in the second polynomial then do the

01:09

same for the second third terms Then we go back

01:12

to the first polynomial and lather intra pete with the

01:15

second term there And finally with third once we're done

01:18

we should have a string of terms about a half

01:19

mile long but at least we'll be getting somewhere alright

01:22

Well three x squared times x squared is three acts

01:25

to the fore Three x squared times negative for axes

01:28

negative twelve x cube and three x squared times Negative

01:32

five is negative fifteen x square All right back to

01:35

the first polynomial middle term now banking fifty Next time's

01:38

expert is negative fifty next cube negative fifty next times

01:42

negative for exes positive sixty x squared and negative fifteen

01:47

x times negative five is positive Seventy five acts are

01:51

home stretch first pollen on the old third term hanging

01:54

a forty two times x squared is negative Forty two

01:56

x squared Thank you forty two times negative four axes

02:00

sixty eight x and negative forty two times five his

02:03

positive to ten and we're done florida now to combine

02:07

Like terms wherever possible we need to get our ducks

02:09

in a row as it is there flapping all over

02:12

have only got one accident fourth term so we can

02:15

leave him along Negative twelve x cubed minus fifteen x

02:18

cube is negative twenty seven x q taking fifteen x

02:22

squared plus sixty x squared minus forty two x squared

02:27

is three x squared Seventy five Acts plus 168 axes

02:31

two hundred forty three acts And then finally we can

02:33

tack on the two hundred ten At the end there

02:35

are all together Now We have to react to the

02:38

fourth one twenty seven execute plus three x squared plus

02:41

two hundred forty three x plus two ten it's option

02:44

b There's got to be careful with all those positive

02:46

and negative signs but as long as you keep straight

02:48

problems like this one as bad as they first appear

02:51

Although tried telling these guys they can barely stand right 00:02:55.671 --> [endTime] frank

Related Videos

Secret Ingredients
391 Views

PSAT 1.3 Math Narrative Walkthrough. How many full packages of secret ingredient does the company have to buy to make one 50-gallon batch?

PSAT 1.1 Reading Diagnostic
1006 Views

PSAT 1.1 Reading Diagnostic. The main purpose of the first two paragraphs is to...what?

PSAT 2.2 Reading Diagnostic
379 Views

PSAT 2.2 Reading Diagnostic. What is the main rhetorical effect of this phrase in the second paragraph?

PSAT 1.3 Writing Diagnostic
282 Views

PSAT 1.3 Writing Diagnostic. To make the paragraph most logical, sentence 2 in the second paragraph should be placed...where?

PSAT 1.4 Writing Diagnostic
239 Views

PSAT 1.4 Writing Diagnostic. Which choice most effectively combines the two sentences in the underlined portion?