anonymous
  • anonymous
the area of a triange can be modeled: A(x)=x^3-1. The length is x-1. Find a polynomial to represent the width of the triangle. (the answer is x^2 + x +1 .... how do u get that?)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Is this an equilateral triangle? or an arbitrary triangle?
watchmath
  • watchmath
Notice that \(x^3-1=(x-1)(x^2+x+1)\) So the width od the triangel is \(2(x^2+x+1)\)
anonymous
  • anonymous
not sure why the "2" is there. \[\frac{x^3-1}{x-1}=x^2+x+1\]

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watchmath
  • watchmath
I guess area of triangle is 1/2*base*height
anonymous
  • anonymous
is the length and width? can we base and sides?
anonymous
  • anonymous
oops you are right. how could i doubt it?
anonymous
  • anonymous
OMG I MENT RECTANGLE SRY GUYS
anonymous
  • anonymous
lol well i read "rectangle' too so it must have been a subliminal message. then there is no 2!
anonymous
  • anonymous
x^3−1 -------- x−1 =x^2+x+1 how is that equal to that?
anonymous
  • anonymous
actually, you are just going to use the formula of the area of a rectangle which is length times width A=lw \[x ^{3}-1=w(x-1)\] divide both sides by x-1 then you will get x^3−1 -------- x−1 which is equal to x^2+x+1 through factoring its gcf.

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