4. Polynomial Functions

For each polynomial function, identify its graph from choices A–F.

$\text{ƒ}\left(x\right)=-(x-2{)}^2(x-5)$

For each polynomial function, identify its graph from choices A–F.

$\text{ƒ}\left(x\right)=(x-2)(x-5)$

Show that the real zeros of each polynomial function satisfy the given conditions. See Example 6.

$\text{ƒ}\left(x\right)=x^5+2x^3-2x^2+5x+5$; no real zero less than -1

Show that the real zeros of each polynomial function satisfy the given conditions. See Example 6.

$\text{ƒ}\left(x\right)=3x^4+2x^3-4x^2+x-1$; no real zero less than -2

Show that the real zeros of each polynomial function satisfy the given conditions. See Example 6.

$\text{ƒ}\left(x\right)=x^5-3x^3+x+2$; no real zero less than -3