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11. The volume V (in cubic feet) of a hot tub is modeled by the polynomial function
V(x) = x³- 10x²+ 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.​

Sagot :

raphealnwobi

x + 2 is a factor of V(x) = x³- 10x²+ 11x + 70; and x = -5 is not a possible rational zero.

What is a cubic equation?

A cubic equation is a polynomial of degree 3.

Given the volume (V) is given by:

V(x) = x³- 10x²+ 11x + 70; where x is the length of the hot tub

a) x cannot be -5 because we cannot have a negative length, also:

V(-5) = (-5)³- 10(-5)²+ 11(-5) + 70  = -360; Also the volume cannot be negative.

b) x + 2 is a factor, hence:

x + 2 = 0

x = -2

v(-2) = (-2)³- 10(-2)²+ 11(-2) + 70 = 0

x + 2 is a factor of V(x) = x³- 10x²+ 11x + 70; and x = -5 is not a possible rational zero.

Find out more on cubic equation at: https://brainly.com/question/20896994

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