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5(2x square minus 6x) minus (4x square minus 3)

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4(x square) minus 30x plus 3

Posted on Dec 18, 2009

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1 Answer

I need to understand how to divide a binomial.


Let's take 2x^2 - 10x +12 and divide it by x-2.
__2x_-_6____________
x-2 ) 2x^2 - 10x + 12
2x^2 - 4x
------------
- 6x + 12
- 6x + 12
------------
0


How many times does x go into 2x^2. Put the answer, 2x above the 2x^2. Next mulitply (x-2) by 2x and put the answer under 2x^2. Now subtract that answer from 2x^2 - 10x and we get -6x (-10x - (-4x)).

How many time does x go into -6x. -6 time. Write this above the line and put the answer above the -10x. Next multiply (x-2) by -6 and put the answer under the -6x. Subtract and we get 0 and we are done. If we want to check our answer we can multiply (x-2) and (2x - 6) and we should get 2x^2 - 10 x + 12.

Good luck.

Paul

Oct 03, 2014 | Office Equipment & Supplies

1 Answer

What ia the sulution of 3y-6x=-3


To find the solution, first find the value of y for each equation.
Then substitue one equation into the other so that you only the x variable left.
Then just solve for x.
Once you have a value for x, then you can easily solve for y.


So for the first equation:

3y - 6x = -3
3y = 6x - 3

y = 2x - 1


Now for the second equation:

2y + 8x = 10
2y = -8x + 10

y = -4x + 5

Since both equations equal y, they also equal each other, therefore:

2x - 1 = -4x + 5

Now just solve for x:

2x + 4x = 5 + 1
6x = 6

x=1

Now substitute x=1 into either original equation:

y = 2x - 1
y = 2 (1) - 1
y = 2 - 1

y = 1


Therefore the solution is x=1 and y=1



Good luck, I hope that helps.


Joe.

Nov 09, 2011 | Texas Instruments TI-84 Plus Silver...

1 Answer

Give the polynomial function whose roots are -2 1 and 3


We can write this polynomial as:
  • (x-(-2))*(x-1)*(x-3)=
  • (x+2)(x-1)(x-3)=
  • (x+2)[x*(x-3)-1*(x-3)]=
  • (x+2)*(x^2-3x-x+3)=
  • (x+2)(x^2-4x+3)=
  • x*(x^2-4x+3)+2*(x^2-4x+3)=
  • x^3-4x^2+3x+2x^2-8x+6=
  • x^3-2x^2-5x+6
x^3-2x^2-5x+6 is polynomial with roots -2, 1, 3.

You can see this polynomial in following picture:

elessaelle_2.png

Notice that it intersects x axis for x=-2, 1 and 3 (because these are roots of polynomial).

Oct 03, 2011 | Office Equipment & Supplies

1 Answer

(2x+3y)(3x+2y)


(2x - 3y)(3x + 2y) = 2x*3x + 2x*2y - 3y*3x - 3y*2y
= 6x^2 + 4xy - 9xy - 6y^2
= 6x^2 - 5xy - 6y^2 You multiply each element in the first set of brackets by each element in the second set of brackets and then consolidate like terms and arrange them in sequence of powers, first x and then y. So:
2x by 3x = 6x squared
2x by 2y = 4xy
-3y by 3x = -9xy
-3y by 2y = 6y squared

6x squared -5xy + 6y squared

Dec 04, 2010 | Yahoo Computers & Internet

2 Answers

4x-(2x-3)=0


4x-(2x-3)=0
=>4x-2x+3=0 ; (after the bracket's oepned and multiplied by - [minus])
=>2x+3=0 ; taken x as common and 4-2=2 i.e. x(4-2) = 2x
=>2x=-3 ; +3's moved on the right-hand side, so it becomes -3
=>x=-3/2 ; 2 has been moved to the right-hand side and divided with -3 i.e 1/2 multiplied by -3 = -3/2

Hence, x = -3/2


Good luck.

Thanks for using FixYa.

Aug 13, 2010 | SoftMath Algebrator - Algebra Homework...

1 Answer

. x^3 - 4x^2 - 12x


Hii,you can use the following solution x^3 - 4x^2-12x=0 x(x^2-4x-12)=0 replacing -4x from -6x+2x x(x^2-6x+2x-12)=0
Now Factoring x(x(x-6) +2(x-6))=0 x(x-6)(x+2)=0 Solution is x=0, x-6=0,x+2=0 1) x=0 2) x-6=0 =>x=6 3) x+2=0 =>x=-2

May 05, 2010 | Vivendi Excel@ Mathematics Study Skills...

1 Answer

I have a LG GE20 DVD Rewriter Is a DVD+RW disc a format that is editable and suitable for this unit?


The LG G20 DVD Rewriter is an advanced external burner that supports 'editable' Rewritable DVD+RW disk.
As a generic comment, not all writable/rewritable media are made equal and problem with branded & unbranded disks are not uncommon, so stick to brands that work for you for your specific unit!
The following is the advertised support for your unit, hope it helps:
Reading Rate DVD-R/-RW/-ROM 16x/13x/16x/16xSL/12xDL max. DVD-RAM 2x, 3x-5x, 6x-12x DVD-Video (CSS) 4,8x max. (Single/Dual Layer) DVD+R/+RW 16x/13x max./ 12xDL max. CD-R/RW/ROM 48x/40x/48x max. CD-DA (DAE) 40x max. Burning Speed DVD-R 2x, 4x CLV, 8xZCLV, 16x PCAV, 20X CAV DVD-RW 1x, 2x, 4x, 6x CLV DVD-RAM 2x, 3x ZCLV, 3x - 5x PCAV, 12x PCAV DVD+R 2.4x, 4x, 8x, 12x, 16x PCAV, 20X CAV DVD+R Double Layer 2.4x, 4x, 10x, 12x ZCLV DVD-R Dual Layer 2x, 4x, 6x CLV, 10x, 12x ZCLV DVD+RW 2.4x, 4x, 6x, 8x ZCLV CD-R 4x, 8x CLV, 16x, 24x, 32x, 40x, 48x ZCLV CD-RW 4x, 8x, 10x CLV, 16x CLV, 24x, 32x ZCLV

Dec 28, 2009 | Computers & Internet

1 Answer

Find three consecutive odd integers such that twice the product of the first two is 7 more than the product of last two


Hi,

Let's say your 3 numbers are a, b and c. Because they are consecutive and odd, you can write them like this:

a = 2x-1, b = 2x+1, c = 2x+3

Now, your problem looks like this:

2(2x-1)(2x+1) = (2x+1)(2x+3) + 7
2(4x^2-1) = 4x^2+6x+2x+3 + 7
8x^2-2 = 4x^2+8x+10
4x^2-8x-12 = 0
4(x^2-2x-3) = 0
x^2-2x-3 = 0

The solutions for this quadratic equation ( see more about this kind of equations here: http://en.wikipedia.org/wiki/Quadratic_equation ) are x=3 or x=-1. So, you've got two sets of solutions:

[1] a = 5, b = 7, c = 9
[2] a = -3, b = -1, c = 1


Take care,
Alex

Oct 15, 2009 | Google Computers & Internet

1 Answer

Foil Method 2(3x-4)(4x+5)


Hello,
You have the method: apply it.
2 *(3x-4)(4x+5) =(6x-8)(4x+5)
Now apply the FOIL method
F: 6x*4x=24x^2
O: 6x*5=30x
I; -8*4x=-32x
L: -8*5=-40

so the result is
24x^2 + 30x-32x -40 =24x^2 -2x-40

Oct 01, 2009 | The Learning Company Achieve! Math &...

3 Answers

Find the value of the variable ''x'' 6x+6=4x+12


6x+6=4x+12
Since 4x contains the variable to solve for, move it to the left-hand side of the equation by subtracting 4x from both sides.
6x+6-4x=12
Since 6x and -4x are like terms, add -4x to 6x to get 2x.
2x+6=12
Since 6 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 6 from both sides.
2x=-6+12
Add 12 to -6 to get 6.
2x=6
Divide each term in the equation by 2.
(2x)/(2)=(6)/(2)
Simplify the left-hand side of the equation by canceling the common factors.
x=(6)/(2)
Simplify the right-hand side of the equation by simplifying each term.
x=3

Good Luck

Sep 10, 2009 | Audio Players & Recorders

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