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1: x2 - 8x + 16
(x - 8)(x - 2)
(x - 4)(x - 4)
(x - 4)(x + 4)


2: x2 + 8x - 48
(x + 12)(x - 4)
(x + 8)(x + 6)
(x + 8)(x - 6)


3: x2 - 6x - 16
(x - 4)(x - 4)
(x + 4)(x - 4)
(x - 8)(x + 2)


4: x2 - 2x - 48
(x - 12)(x + 4)
(x + 6)(x - 8)
(x - 6)(x - 8)


5: x2 + 14x + 33
(x + 11)(x + 3)
(x - 11)(x + 3)
(x + 33)(x + 1)


6: x2 - 2x + 1
(x - 1)(x + 1)
(x - 2)(x - 1)
(x - 1)(x - 1)


7: x2 - 5x + 4
(x - 1)(x - 4)
(x - 1)(x + 4)
(x - 2)(x - 2)


8: x2 - 10x - 11
(x - 11)(x - 1)
(x - 11)(x + 1)
(x + 11)(x + 1)


9: x2 - 11x + 30
(x - 5)(x - 6)
(x + 3)(x - 10)
(x - 3)(x - 10)


10: x2 - 9x - 10
(x - 5)(x + 2)
(x + 5)(x - 2)
(x + 1)(x - 10)


11: x2 - 4x - 5
(x + 1)(x - 5)
(x - 1)(x - 5)
(x - 1)(x +5)


12: x2 - 8x + 15
(x - 3)(x - 5)
(x - 15)(x - 1)
(x + 3)(x + 5)


13: x2 + 13x + 42
(x + 21)(x + 2)
(x + 2)(x - 21)
(x + 7)(x + 6)


14: 2x2 - 32x + 128
2(x - 16)(x - 4)
2(x - 8)(x - 8)
2(x - 2)(x + 32)


15: 2x2 + 4x - 198
2(x - 9)(x - 11)
2(x - 2)(x + 11)
2(x - 9)(x + 11)

2007-03-30 11:20:06 · 14 answers · asked by *MaRiSsA* 2 in Science & Mathematics Mathematics

14 answers

1) (x-4)(x-4)
2) (x+12)(x-4)
3) (x-8)(x+2)
4) (x+6)(x-8)
5) (x+11)(x+3)
6) (x-1)(x-1)
7) (x-1)(x-4)
8) (x-11)(x+1)
9) (x-5)(x-6)
10) (x+1)(x-10)
11) (x+1)(x-5)
12) (x-3)(x-5)
13) (x+7)(x+6)
14) 2(x-8)(x-8)
15) 2(x-9)(x+11)

2007-03-30 11:31:40 · answer #1 · answered by bruinfan 7 · 0 0

1. (x - 4)(x - 4)
2. (x + 12)X - 4)
3. (x - 8)(X + 2)
4. (x + 6)(X - 8)
5. (x + 11)(X + 3)
6. (x - 1)(X -1)
7. (x - 4)(X -1)
8. (x -11)(X + 1)
9. (x - 6)(X - 5)
10. (x + 1, )(X - 10)
11. (x + 1)(X - 5)
12. (x - 3)(X - 5)
13. (x + 7)(X + 6)
14. 2(x - 8)(X - 8)
15. 2(x -9)(X + 11)

rules in factoring:

1. pull out GCF if possible (greatest common factor!)

2. multiply the outside numbers. for instance in #1. x^2 - 8x + 16
( the number infront of x^2 is 1 and then times it by +16
1 x 16 = 16

3. add the numbers and see it the sum matches the middle number which is -8 (since 1 + 16 = 17, then you need to find other numbers that would multiply to 16 and would up tp -8)
-2 x -8 = 16 (if you add the two numbers you get -10
-4 x -4 = 16 add them up you get -8
* you cant multiply - and + becaue it would give you a negative answer and you need a positive number ( +16)

4. since -4 x -4 matches, you can now proceed factoring.

5. (x - 4)(x -4)
x = 4,4 if you wanna make sure you did it right, then just plug the x values and see if you get it right.

EX 15. 2X^2 + 4X - 198
1. pull out gcf in this case two. 2(x^2 + 4x - 99)

2. then do the same thing like you did in number one.

2007-03-30 19:20:37 · answer #2 · answered by keets 2 · 0 0

Plz remember this rule: (X+a)(X+b)=X^2+(a+b)X+a*b
So when you are choosing the right answer only check the sum and the product of "a" and "b" in each equation.(Be carefull about the signs!)
1-(x - 4)(x - 4)
2-(x + 12)(x - 4)
3-(x - 8)(x + 2)
4-(x + 6)(x - 8)
5-(x + 11)(x + 3)
6-(x - 1)(x - 1)
7-(x - 1)(x - 4)
8-(x - 11)(x + 1)
9-(x - 5)(x - 6)
10-(x + 1)(x - 10)
11-(x + 1)(x - 5)
12-(x - 3)(x - 5)
13-(x + 7)(x + 6)
14-2(x - 8)(x - 8)
15-2(x - 9)(x + 11)

2007-03-30 18:34:35 · answer #3 · answered by Anonymous · 0 0

If you really don't get it... try multiplying each of the answers out to see what they get you. For instance, #1:

(x - 8)(x - 2 ) = x ^ 2 - 10x + 16
(x - 4)(x - 4) = x ^ 2 + 8x + 16

etc., etc.

They did teach you FOIL, right?

x ^ 2 will always come first if there are no other multiplyers, then add the two numbers together and put an x on the end of that, then multiply the two numbers together. Easy as pie.

2007-03-30 18:28:10 · answer #4 · answered by peachfuzz 3 · 0 0

1: x2 - 8x + 16 = (x - 4)(x - 4)

Why?

If you expand the brackets out you'll get x^2 - 8x + 16.

Remember, your looking for multiples of the last one (16 in this case, so 8 x 2, 4 x 4, 16 x 1 or they could be negative) that add or subtract together to equal the middle number (-8 in this question) -4-4 seems like the most logical of them right?).

They are pretty simple once you get the hang of them, then they throw a hammer in the works when they add questions like...
12x -36x + 18

2007-03-30 18:34:29 · answer #5 · answered by Anonymous · 0 0

(x+a) (x+b) = x(x+b)+a(x+b) = x^2 +bx + ax + ab
= x^2 + (a+b)x + ab
so you want to spot whether the constants in the factors will add and multiply to give you the x coefficient and the constant

1: x2 - 8x + 16
(x - 8)(x - 2) = x^2 -10x +16
(x - 4)(x - 4) = x^2 -8x +16 **** the answer
(x - 4)(x + 4) = x^2 -16

try 2-13 on your own to get the hang of it, then we can slightly change it for when you have kx^2 + ...

2007-03-30 18:32:45 · answer #6 · answered by hustolemyname 6 · 0 0

In order to know these, you have to try them out. For example, on #1, does -8 and -2 add up to -10. No, but -4 and -4 do.
So the answer if (x-4)(x-4). You could also say, what number multiply to get 16. All of them work, so you would have to move onto that step above.

See if you can do the rest on your own

2007-03-30 18:24:31 · answer #7 · answered by llllarry1 5 · 1 0

Here are some smart answers that I guarantee will not earn me 10 points:

Turn off your phone.

Turn off your pc / mac.

Turn off your tv / radio / dvd player / games console / mp3 player and any other form of entertainment that will distract you (you know what they are).

Put a 'do not disturb' sign on your bedroom door.

Get out your textbooks.

Read over your notes, if you have made any.

Take a break after one hour.

Have a light snack.

Drink water.

Don't get distracted, you have work to do.

Go back to your room.

Work for another hour.

Repeat this process.

If you still do not know how to work out the math, then go back to your teacher and be honest.

Ask for support.

Go to the library.

Take or do not any of the advice given you above.

But, if you accept anyone else's work and palm the answers off as your own, then that will make you a liar and a cheat.

The honour code exists for a reason and by suggesting that someone do your homework for you indicates that you have little respect...

...for your education...
...little respect for your school...
...no respect for the honour code...
...little respect for your fellow pupils...
...no respect for your teachers...

and, most damaging of all, little respect for yourself.

there is nothing wrong with admitting that you find the math difficult...it's better than cheating.

if you take this path, then you will do the same thing in the future. Cheating will become an addiction, just like smoking or drinking.

if you were found out, could you really cope with the shame?

what about all of the people who really think highly of you?

do you want to let them down, too?

I know about this type of struggle, it isn't easy.

I used to terrible at fractions, but the only way out was to find someone who was better at fractions and learn in the only way that you can, by trying that little bit harder, push yourself.

Cheaters never prosper.

Oh yes, you'll get away with it today or tomorrow, but what about the day after that? a month? a year?

You will always know that you cheated and believe me, it's the kind of burden that you don't want.

So, you know what you have to do.

yours,

Mark

P.S. Good luck, i'm going to pray for your success.

2007-03-30 18:54:31 · answer #8 · answered by mark s 1 · 1 0

Hi Marissa. You need to understand HOW these work. They never change so once you understand today (or next month) HOW then the rest will be easy. To factor just remember FOIL. (First set, Outside set, Inside set, Last set.) Look at your first problem. Remember, EVERYTHING balances on both sides of '=' .

2007-03-30 18:25:55 · answer #9 · answered by Cirric 7 · 0 0

Do them yourself. You have asked the same set of questions previously!!! Go learn!!!

2007-03-30 18:29:46 · answer #10 · answered by tpk_april1 5 · 1 0

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