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Find GCF of polynomials

22w^7x6 and 14w^2x^7y^2

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Posted on Dec 27, 2012


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Find four solutions for the equation 2x + 7y = 14

2x + 7y - 14 = 0

One equation in 2 unknowns has many solutions. Generally you can just substitute x = 1,2,3,4,5 etc and find y. Let us stick to simple outcomes

7y = 14 - 2x
x = 7 y = 0
x = -7 y = 4
x = 14 y = -2
x = -14 y = 6

Apr 11, 2014 | Mathsoft StudyWorks! Mathematics Deluxe...

1 Answer

Greatest common factors

Please the reformulate the problem(?) with more care. Capital P is a different entity than p. Are you trying to factor out the polynomial (an algebra problem where the Greatest Common Factors have no meaning), or are you trying to find the GCF of certain positive integers (an arithmetic problem)?

Feb 19, 2014 | Computers & Internet

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

There are an infinite number of polynomials with those roots. Assuming you want one with the lowest degree, here are two:
x^3 - 2x^2 - 5x + 6
2x^3 - 4x^2 - 10x + 12

Since the roots of the polynomials are -2, 1, and 3, the values (x+2), (x-1), and (x-3) must be zero.
To get these polynomials, simply multiply
k * (x+2) * (x-1) * (x-3)
where k is any nonzero value.

Oct 03, 2011 | Texas Instruments TI-84 Plus Calculator

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:


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

Oct 03, 2011 | Office Equipment & Supplies

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(x^4 + 2x^3 - 7x^2 -8x + 12) / (x^2 - 3x + 2) dividing polynomials i need it rush

Note that (x^2 - 3x + 2) can be factored: (x-2)*(x-1)

First, divide by (x-1).
Second, divide by (x-2).

May 09, 2011 | Computers & Internet

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Solve for x and y: 0.2x+0.7y=1.5 0.3x-0.2y=1

Ok so first you need to find what x equals in terms of y. so use the first equation .2x+.7y=1.5 solve for x by the following steps
subract .7y from both sides: .2x= 1.5-.7y --->
divide by .2 on both sides: x= 7.5 - 3.5y. --->
Now plug in x= 7.5 - 3.5y for x in the second equation 0.3 (7.5 - 3.5y) -0.2y=1 --->
Distribute the .3: 2.25 - 1.05y -.2y = 1--->
solve for y by combining like terms (the y's) and subtractive 2.25: -1.25y = -1.25--->
divide by -1.25 and you get y= 1
Now go back to your x= 7.5 - 3.5y you solved for. Plug in 1 for y in the equation and solve for x--->
x=7.5-3.5(1) so x= 4 and y=1 yay your done!

May 03, 2011 | Texas Instruments TI-30 XIIS Calculator

2 Answers

How to find the polynomial roots in TI-83 Plus

One way is to use the Polynomial Root Finder and Simultaneous Equation Solver app.

Press the APPS key, then select PlySmlt2 and press ENTER. Press ENTER to get past the opening screen, then select "POLY ROOT FINDER" and press ENTER. Select the order of the polynomial and other settings as desired. Press F5 (the GRAPH key) to go to the next screen. Enter the polynomial coefficients, then press F5 to solve. The next screen will show you the roots (unless you selected real roots and the polynomial doesn't have any real roots).

If you don't have the app installed, you can download it from

Jan 20, 2011 | Texas Instruments TI-83 Plus Calculator

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is the simplified answer because you can't break up the polynomials. The polynomials are like groups and you can't break them apart unless the polynomial itself can be simplified like


can be simplified to 2(x+2)

so in which case you could simplify the problem down further.

Jan 29, 2010 | TOPICS Entertainment CollegePro...

3 Answers

Maths Equations

-3x+7y=-1 and -2x+5y=0

Jan 17, 2008 | Curtis-Mathis CM25011 25" TV

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