5. Find the solutions to this equation algebraically using the Fundamental Theorem of Algebra, the Rational Root Theorem, Descartes' Rule of Signs, and the Factor Theorem.

(Hint: If the numbers are large, graph the function first using GeoGebra to help you find one of the zeros. Use that zero to find the depressed equation which can be solved by factoring or the quadratic formula.)

V = l*w*h
V = 8*2*11
------------------
8x2x11
v=lwh; =176
l=x; w=x-6; h+3
x(x-6)(h+3)=176
(x^2-6x)(x+3)=176
x^3+3x^2-6x^2-18x=176

x^3-3x^2-18x-176
3 minutes ago - 4 days

Question

5. Find the solutions to this equation algebraically using the Fundamental Theorem of Algebra, the Rational Root Theorem, Descartes' Rule of Signs, and the Factor Theorem.

(Hint: If the numbers are large, graph the function first using GeoGebra to help you find one of the zeros. Use that zero to find the depressed equation which can be solved by factoring or the quadratic formula.)

V = l*w*h
V = 8*2*11
------------------
8x2x11
v=lwh; =176
l=x; w=x-6; h+3
x(x-6)(h+3)=176
(x^2-6x)(x+3)=176
x^3+3x^2-6x^2-18x=176

x^3-3x^2-18x-176
3 minutes ago - 4 days