• April 29th 2012, 07:37 AM
Kibbygirl
Are these correct?

1. Multiply:
(10z+5)(z2 - 2z+10)

10z3 - 15z2 + 90z + 50

2. Divide:
16r3 - 12r2+ 60r + 16
------------------------
8r+2
2(r2 - r +4)

3. Divide Synthetically:
(2m3 + 5m2 + 6m -4) / (m +1)

2m2 + 3m + 3 R= -7/m+1

4. Subtract 13r2 - 9r + 3 from 7r2- 4r - 8

-6r2+ 13r +5

5. Divide:
18r3 - 9r2+34r +45
--------------------
6r + 5

3r2 - 4r + 9

6. Factor:
uv2 - 4 - v2+ 4

(u+1)(v2 + 4)

7. Factor:
x2(y-7)2 + 5x(y-7)2 +4(y-7)2

(y-7)2(x+4)(x-1)

8.Factor:
x3 + 125

(x+5)(x2-5x+25)

9. Factor:
16a4 - 1
(4a2+1)(4a2- 1)

10. If g(t) = 2t2+11t-10, find t such that g(t) = 11

g(t) = 353

11. Evaluate:
4x2y2+2x2y - 3xy2- 3xy + 6 when x= -2 and y = 2

-2

12. If P(y) = 1/2y -1 then find y such that P(y)= -5

P(y) = - 13/2

And I need help setting up this problem:
Solve this equation:
n3+80n=18n2

Would you set it up as n3+80n+18n2= 0 ?
I'm not sure what my steps need to be to set it up to try and solve it.

Thank you for any help!
• April 29th 2012, 08:44 AM
skeeter
allow me to introduce you to Wolfram Alpha ...

expand (10z+5)*(z^2 - 2z+10) - Wolfram|Alpha
• April 29th 2012, 01:49 PM
Kibbygirl
I've looked at Wolfram Alpha and many of what I input is not being understood. I am not sure what I am doing wrong with imputing the information? I really need to know if my answers are correct because these are being used as notes for my final tomorrow.
• April 29th 2012, 02:55 PM
Plato
Quote:

Originally Posted by Kibbygirl
I've looked at Wolfram Alpha and many of what I input is not being understood. I am not sure what I am doing wrong with imputing the information? I really need to know if my answers are correct because these are being used as notes for my final tomorrow.

Can you show what you tried at Wolfram Alpha that would not work.
Using those examples may give you some ideas.
• April 29th 2012, 03:01 PM
skeeter
the following are incorrect ...

4, 6, 7, 10, 11, and 12

9 is incomplete

$n^3+80n=18n^2$

$n^3-18n^2+80n = 0$

start by factoring out an $n$ , then factor the resulting quadratic factor
• April 29th 2012, 03:21 PM
Kibbygirl
#10 and #12 are ones that it doesn't seem to understand and I am unsure how to put them in so it can understand them. I didn't see it on the examples page.
• April 29th 2012, 03:23 PM
Kibbygirl
Ok thank you. So 1-3, 5, 8 are all incorrect?
• April 29th 2012, 03:27 PM
skeeter
Quote:

10. If g(t) = 2t^2+11t-10, find t such that g(t) = 11
$2t^2+11t-10 = 11$

$2t^2+11t-21 = 0$

factor and solve

Quote:

12. If P(y) = 1/2y -1 then find y such that P(y)= -5
$\frac{1}{2y} - 1 = -5$

$\frac{1}{2y} = -4$

$-\frac{1}{4} = 2y$

$-\frac{1}{8} = y$
• April 29th 2012, 03:30 PM
Kibbygirl
• April 29th 2012, 03:34 PM
Plato
Quote:

Originally Posted by Kibbygirl
#10 and #12 are ones that it doesn't seem to understand and I am unsure how to put them in so it can understand them. I didn't see it on the examples page.

Well look at this,
• April 29th 2012, 05:35 PM
Kibbygirl
How would I put #7 above into the Wolfram site? This problem:
Factor:
x2(y-7)2 + 5x(y-7)2 +4(y-7)2
• April 29th 2012, 05:39 PM
skeeter
Quote:

Originally Posted by Kibbygirl
How would I put #7 above into the Wolfram site? This problem:
Factor:
x2(y-7)2 + 5x(y-7)2 +4(y-7)2