(x^5+x^2-3)(x^3-1) = x^8-3x^3-x^2+3
Now subtract -3x^3+x^2-4x and you get
x^8-2x^2+4x+3
Now subtract 2x^2-4x and you get
x^8+3
So, the whole thing is just
(x^5+x^2-3)(x^3-1)-(-3x^3+x^2-4x)-(2x^2-4x)
Consider the following four polynomials, labeled A - D:
A. ( 2x2 - 4x )
B. ( x3 - 1 )
C. ( -3x3 + x2 - 4x )
D. ( x5 + x2 - 3 )
Find an algebraic expression that uses each of the four polynomials once and simplifies to:
x8 + 3
Your expression may involve any combination of adding, subtracting, and multiplying the polynomials. Be sure to explain the thinking you used to find your answer, and show that your expression simplifies correctly.
2 answers
Great answer,
Although I think you meant ADD 2x^2 - 4x to get x^8 + 3.
Nonetheless, thanks.
Although I think you meant ADD 2x^2 - 4x to get x^8 + 3.
Nonetheless, thanks.