Can anyone help with any of these?

rachael724

Junior Member
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Sep 14, 2005
Messages
95
Factor completely: m4 + 21m2 + 90


{[3(11 - 9)2 + 6][7 - (2)(10)]}/[(5 - 2)2 + 4] =


The length of the side of a square is 8(21/2) cm. Then the perimeter of the square is, in cm?


Factored completely, p3 - 2p2 + 9p - 18 =


The domain of the variable x in the expression 6/(x + 4) is:


(a2 + 2b2)(a2 - 2b2) =


3(x2 + 4)1/2 - 3x2 (x2 + 4)-1/2 =


Factored completely, x4 - x3 + x - 1 =


Thanks!
 
Don't post a laundry list of problems without showing any work!
 
No, maybe post 1 or 2 problems at a time, but not 8! That will make people think that you're a Math Troll only wanting answers for hw.
 
Well I am NOT a math troll. I didn't know I am sorry I am a newbie. I just need some help and just was wondering if anyone could help me with a few of these atleast!
 
rachael724 said:
1) Factor completely: m4 + 21m2 + 90
Find factors of 90 that add to 21. Then factor as usual: (m<sup>2</sup> + ??)(m<sup>2</sup> + ??)

rachael724 said:
2) {[3(11 - 9)2 + 6][7 - (2)(10)]}/[(5 - 2)2 + 4] =
This is just an evaluation exercise. Work from the inside out. 11 - 9 = ??, 5 - 2 = ??, and so forth. How far have you gotten?

rachael724 said:
3) The length of the side of a square is 8(21/2) cm. Then the perimeter of the square is, in cm?
Where are you stuck? Do you not know what a "square" is, or what the "perimeter" is...? Please clarify the difficulty you are having.

rachael724 said:
4) Factored completely, p3 - 2p2 + 9p - 18 =
Factor "in pairs": What comes out of the first two terms? What comes out of the last two terms? Take this common factor out front, and then simplify what's left.

rachael724 said:
5) The domain of the variable x in the expression 6/(x + 4) is:
The domain is all allowable x-values. So which values can x not be in this case? The domain is everything else.

rachael724 said:
6) (a2 + 2b2)(a2 - 2b2) =
If you don't know how to multiply polynomials, try this FreeMathHelp lesson to find out.

rachael724 said:
7) 3(x2 + 4)1/2 - 3x2 (x2 + 4)-1/2 =
Assuming the numbers after the variables and parentheses and such are meant to be exponents, try multiplying through by sqrt(x<sup>2</sup> + 4) and solving the resulting equation.

rachael724 said:
8) Factored completely, x4 - x3 + x - 1 =
This one works like (4).

Eliz.
 
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