Question

I have a final 2mor with factoring and i was wondering if i can do anything besides factoring so it can b easier....they are multiple choices questions...

Answer 1

like those..is there anyway i could get away from factoring becuz i am horrible at it

Answer 2

First of all if, they are questions like as given in the attachment, then, you can just simplify them or try putting x = 1, 0 or -1 in question and find out the value and then put the same value of x in the options and see which one gives the same answer.

Answer 3

Let me give you an example.

Answer 4

ok thanks!

Answer 5

See: consider the question 7:

Answer 6

simplify 6y^2(3y^2 - 1) ?

First put y = 0 in this and tell me what will you get ?

Answer 7

@dbaseball you there ?

Answer 8

yes....so it would b 18y^4-6y^2

Answer 9

then you would do =0?

Answer 10

See, first of all tell me can you solve the questions given in the attachment easily ?

Answer 11

i dont think so.. at least not for me

Answer 12

Its ok

Answer 13

Then follow the steps as I say:

(1) See the expression in question.

(2) Put, y or x or whatever variable they have used = 0 and find out the value of the expression given in the question.

For example in Q.7. if I put, y = 0 in 6y^2(3y^2 - 1) what will be the value I obtain ?

Answer 14

woud it b 17..idk i am really confused

Answer 15

No it wouldn't be 17.

What I am asking you to do is that in place of y write 0. Can you do this ?

Answer 16

say what?? lol can you draw this

Answer 17

For example, I was given

\[\large{6y^2 (3y^2 - 1)}\]
Now, I am writing 0 in place of y;

\[\large{6*(0)^2(3*(0)^2 - 1)}\]

Did you get this ?

Answer 18

yup but then i got a single answer

Answer 19

Yeah what was that answer ?

Answer 20

12?

Answer 21

No

Answer 22

What is 0 * any number ?

Answer 23

0

Answer 24

Good.

What is 0^2?

Answer 25

0

Answer 26

Very good!

Answer 27

Now, see:

\[\large{6*(0)^2 (3*(0)^2 - 1)}\]

\[\large{= 6 * 0 * (3* 0 -1)}\]

\[\large{= 0}\]

Do you get this ?

Answer 28

yes

Answer 29

Very good

Answer 30

So, what I did was in the expression given in the question (for example 6y^2(3y^2 - 1)), I just wrote 0 in place of y and then solved and evaluated the answer.

Ok ?

Answer 31

yes so whats next??

Answer 32

Now, what you are going to do is that:

(1) In each option , put 0 in place of y and then solve it. And then tell me the values of each option.

Answer 33

For example in option a.:

\[\large{18*y^4 - 6*y^2}\]

In place of y write 0

\[\large{18*(0)^4 - 6*(0)^2}\]

Now solve this.

What will you get ?

Answer 34

didnt we just d that and it would equal 0

Answer 35

Yes very good you would get 0.

So, value for option a when y = 0 is 0.

Now, what of option b ?

Answer 36

whats option b?

Answer 37

9y^4 - 6y

Put y = 0 and then solve it

Answer 38

its 0

Answer 39

Very very good.

What about option c?

18y^4 - 1

Answer 40

-1

Answer 41

Very good.

What about option d?

18y^3 - 6y^2

Answer 42

0

Answer 43

Very very nice.

Answer 44

Now we are going to do calculations fast , very fast. So get ready! Ok ?

Answer 45

ok

Answer 46

Very good.

Answer 47

In the Q.8. we have:

Simplify (4p-3)^2 :

(a) 16p^2 - 6p + 9

(b) 16p^2 - 12p + 9

(c) 16p^2 - 24p + 9

(d) 16p^2 - 9

Now, as we did in Q.7. (that is we put y = 0 and then solved), we are going to do the same here. Put p = 0 and then solve:

(1) First solve the expression in question : (4p-3)^2

(2) then solve each expression in each option one by one

Answer 48

Can you do this ?

Answer 49

yes i get that step so how do you get the answer...i understand u plug in 0 for every option

Answer 50

yes very good

Answer 51

Then you just solve it.

For example , see the question:

(4p-3)^2 = (4*0 - 3)^2 = (-3)^2 = 9

Answer 52

and the answer is whatever is true?

Answer 53

No forget about the answer now. Just find out the values.

Answer 54

ok 1) 9 2) 9 3) 9 4) -9

Answer 55

Great work

Answer 56

Now, what if I instead of asking you to put 0, I asked you to put 1.Can you calculate the values then ?

Answer 57

put what?

Answer 58

o 1 woops ok

Answer 59

Yes 1.

For example, lets move back to Q.7. in the question:

6y^2(3y^2 - 1) put y = 1 and then find the value.

Answer 60

it would b 12

Answer 61

Great

Answer 62

Now, can you calculate the values of options when y = 1 (in Q.7) ?

Answer 63

ok 1) 12 2) 3 3) 17 4) 12

Answer 64

Great

Answer 65

Now, lets see how we can find out the correct answer by all this work

Answer 66

ok

Answer 67

??

Answer 68

Pay very close attention:

(1) Put, y = 0 in question and the options and calculate the values.

Answer 69

(2) Then, if the values obtained from the question and the option match then that option is a POSSIBLE correct answer.

Answer 70

ok which question do u want me to do

Answer 71

(1) In Q.10. put x = 0 in question and options and then tell me which options are the possible correct answers.

Answer 72

ok the question is narrowed down to (-2) and (2) do i just multiply them

Answer 73

Yes

Answer 74

ok so the question= -4 and choices a,b and d all equal -4 but c which equals 4

Answer 75

Very good!

So possible correct answers are ?

Answer 76

abd

Answer 77

Very good

Answer 78

Now,

(1) Put, x = 1 in possible correct options and the question

Answer 79

ITS A

Answer 80

Similarly this time also if the values match, then select only those options and reject the other options.

Answer 81

Brilliant work

Answer 82

thanksss soo much..just one last question...can't i just start at y=1??

Answer 83

Yeah sure

Answer 84

Remember this:

You can start by putting any value of the variable and then keep on narrowing down the possible correct answers untill you have only one left.

Answer 85

Now, can you solve Q. 9 ?

Answer 86

yes

Answer 87

Good go on.

Answer 88

Tell me the answer.

Answer 89

it would b C

Answer 90

Brilliant

Answer 91

You did it perfectly right.

Now, solve 7 and 8 also .

Answer 92

omg ur a live saver...thanks again

Answer 93

Hey, do not mention it. It was my pleasure to help you.

Answer 94

7=a 8=c

Answer 95

Perfect answer.

Answer 96

You really got it right. Very good work.