The volume V (in cubic feet) of a hot tub is modeled by the polynomial function V(x) = x^3 - 10x^2 + 11x + 70, where x is the length of the hot tub.

a. Explain how you know x = -5 is not a possible rational zero.

b. Show that x + 2 is a factor of V(x). Then factor V(x) completely.

Which approach to the theory-and-research cycle does the following sequence reflect: (1) specific observations suggest generalizations, (2) generalizations produce a tentative theory, (3) the theory is tested through the formation of hypotheses, and (4) hypotheses may provide suggestions for additional observations?

The rectangle on the right is the image of the rectangle on the left. what transformation would result in this image? reflection rotation translation dilation

If sec theta = 5/3 and the terminal point determined by theta is in quadrant 4, then