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PSAT Math Diagnostic Videos 41 videos

PSAT 1.1 Math Diagnostic
312 Views

PSAT 1.1 Math Diagnostic. If a rabbit consumes 3 meals a day, how many grams of food will a rabbit consume in 7 days?

PSAT 1.10 Math Diagnostic
256 Views

PSAT 1.10 Math Diagnostic. Which of the following is a factor of the expression?

PSAT 1.3 Math Diagnostic
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PSAT 1.3 Math Diagnostic. Which of the following most nearly represents the line of best fit?

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PSAT 1.32 Math Diagnostic 177 Views


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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

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