Question

Which statement best describes the graph of this polynomial function f(x)=x^4+x^3-2x^2

Answer 1

See below description.

Explanation:

The function
`f(x) = x^4+x^3-2x^2` has the following characteristics:

• Factors:
  `x^2(x+2)(x-1)`
• Zeros/roots: x=0, x=-2, amd x=1
• Positive leading coefficient
• Graph starts up, curves down through -2 on the x-axis and back up to 0 where it touches and curves down and back up again again. It comes down back through 1 and crosses.
• Its graph s the shape of a W.
• It has minimum values at -2.83 and -0.397