Math Help

GCMF:

9z^2 

7ab

4p

Sum/dif/prod

4z^2+z-18

p^2-6p-7

-5k^6+15k^5

y^3+3y^2-9y-22

-2x^2-14x+7

-17q^2-3q+4

third part: what is the question? what are A and B?

For the first set:

The third problem, 4p - 8p^2 can be written as

4p - 8p^2 = 4p ( 1 - 2p )  so 4p is the greatest common factor.

The second set:

For something like (2t + 7)(t - 3), recall FOIL: First, Outside, Inside, Last

F: 2t * t = 2t^2

O: 2t * ( - 3 ) = -6t

I: 7 * t = 7t

L: 7 * (-3) = -21

Adding the terms together, then grouping like terms:

2t^2 + ( -6t) + 7t + (-21) = 2t^2 + t - 21

For (-3x^2-8x+5)+(x^2-6x+2), it may be easier to rewrite in column addition form:

  -3x^2 -8x +5

+   x^2 -6x +2

The last problem in that set is similar but make sure the minus sign (essentially -1) is distributed to the whole polynomial: i.e. - (r^2 - 6x + 2) = - r^2 + 6x - 2

Not really sure what the third set is asking for...

EDIT: I'm too slow...

Quote:

Originally Posted by kjk1281 

For the first set:

 

The third problem, 4p - 8p^2 can be written as

 

4p - 8p^2 = 4p ( 1 - 2p )  so 4p is the greatest common factor.

 

The second set:

 

For something like (2t + 7)(t - 3), recall FOIL: First, Outside, Inside, Last

 

F: 2t * t = 2t^2

O: 2t * ( - 3 ) = -6t

I: 7 * t = 7t

L: 7 * (-3) = -21

 

Adding the terms together, then grouping like terms:

2t^2 + ( -6t) + 7t + (-21) = 2t^2 + t - 21

 

 

For (-3x^2-8x+5)+(x^2-6x+2), it may be easier to rewrite in column addition form:

 

  -3x^2 -8x +5

+   x^2 -6x +2

 

The last problem in that set is similar but make sure the minus sign (essentially -1) is distributed to the whole polynomial: i.e. - (r^2 - 6x + 2) = - r^2 + 6x - 2

 

Not really sure what the third set is asking for...

 

EDIT: I'm too slow...

Heh but you actually explained what you are doing so your post is actually much better. I was too lazy to do that 

Quote:

Originally Posted by cifani090 

A and B is what i got for an answer.

 

There is no question... (8m+3)^2 is not a question it is merely a number. What are you being asked to do with it?

Quote:

Originally Posted by cifani090 

Would that answer than be, -2x^2-14x+7 ????

 

of course!

LOL , didnt know head-fi was also for this questions! (sorry but cant stop laughing)

btw. what grade are you?

Oh, in that case you need to apply FOIL to them as described in kjk1281's post.

(8m+3)^2=(8m+3)(8m+3)=64m^2+48m+9

(5y-6)^2=(5y-6)(5y-6)=25y^2-60y+36

a shortcut for a problem like the two above, where the form is (ax+b)^2 is (ax+b)^2=a^2*x^2+2*a*b*x+b^2. This falls out of FOILing:

(ax+b)^2=(ax+b)(ax+b)=ax*ax+ax*b+b*ax+b*b=a^2*x^2+2*a*b*x+b^2

Quote:

Originally Posted by cifani090 

Would that answer than be, -2x^2-14x+7 ????

 

That's correct. All the answers are in my first post, unless I made a mistake 

Quote:

Originally Posted by kanuka 

of course!

LOL , didnt know head-fi was also for this questions! (sorry but cant stop laughing)

btw. what grade are you?

 

I am guessing this is either a pre algebra course or maybe an algebra course - which I think puts you around grade 7? 

wow. higher level than MY 7 grade was