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## Emmanuel, Mathematics Tutor

### Los Angeles, CA (90023)

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# Emmanuel's Responses in WyzAnt Answers

#### how do i factor 5x^3-45x^2+70x

I need help factoring the following problem

5x^3-45x^2+70x

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Asked by Jennifer from Pensacola, FL
00

First thing you want to do is find the highest common multiple, In this case 5x is your common multiple, Since it can be factored from 45x2 and 70x ..... ( The highest common Multiple is the smallest value from all the coeficents , 5, 45 , 70 .. and the x with the lowest power  x3 , x2 , x ...... thus... 5x as your multiple)

Therefore when you factore out the 5x you get ...

5x ( x2 - 9x + 14 )

Now make sure that if you were to distribute in the 5x to ( x^2 - 9x + 14) you'll get the orginal Polynomial of  5x3 - 45x2 + 70x ... Just to make sure.

so we have

5x ( x2 - 9x + 14 ) , now to factor out  ( x2 - 9x + 14)  you need to find the multiples of 14.

1 x 14 = 14 and 2 x 7 = 14  , now choose of the comination and check if whether you add them or subract them they give you the coefficent - 9.

For example  say we choose 1 and 14 ..   1 + 14 = 15 , 1 - 14 = -13 , -1 -14 = -15 , 14-1 = 13.. so it wont work.

Try 2 and 7      2 + 7 = 9 , 2-7 = -5 , -2-7= -9... You found the combination  -2 , and -7

Just to make sure you may want to distribute, and foil, to check if you get the original polynomial.

#### compund value

Time is 5 years

Prinicpal is 3,400

Intrest rate is 12%

It is Compounded  Semiannually

what is the amount?

what is the interest?

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Asked by Jackie from Saint Louis, MO
00

First thing you want to do is write down the equation your going to use for Feature Value,

A = P ( 1 + r/n )nt  were P= principle , r= intrest Rate , n= # times per year, t= total time, and A your Feature Amount.

There fore     A = 3,400 ( 1 + .12/2)2(5) by substituting all the given values.

Notice that The Rate of 12% became .12 by dividing 12/100, This is due to the fact that the percentage value can not be use to simplify the problem , Therefore it needs to be converted to a decimal value.

Also your "n" value is 2, since its compounded semiannually, every 6 months, which means 2 times a year.

The Algebra part can be confusing at times... Take it step by step

1.   ( 1 + .12/2) = ( 1 + .06) = 1.06

2.   (1.06)2(5) = (1.06)10 = 1.7908477

3.  3,400 * ( 1.7908477) = 6088.88218

4.  A = \$ 6088.88

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## Background Check Status for Emmanuel G.

Emmanuel G. passed a background check on 2/14/2013. You may run an updated background check on Emmanuel once you send an email.