algebra 1 discussion board

Question

Choose a word that uses at least 5 separate letters (in other words, banana wouldn't qualify because it only uses 3 letters).
Create factors for each of the 26 letters of the alphabet.
Create polynomials to represent each letter in your word. At least one of your problems needs to have a leading coefficient greater than 1.

Answer 1

 

PAINS

 

P=x+1

A=x-1

I=2x+1

N=x

S=-x

 

 

PAINS = (x+1)(x-1)(2x+1)(x)(-x) 

 

         = (x^2-1)(2x+1)(-x^2)

         = (x^2-1)(-x^2)(2x+1)

         = (- x^4 + x^2)(2x+1)

         = -2x^5 + 2x^3 - x^4+ x^2

 

         = -2x^5 - x^4 + 2x^3 + x^2