F(X) = (x^3+49)

Question

find all the X intercepts of each polynomial 

Answer 1

If this is the complete polynomial (why the unnecessary parentheses?), the you can find the x-intercepts by setting F(x) = 0 and solving for x:

 

0 = x³ + 49

 

x³ = -49

 

x = ³√(-49).

 

This cannot be simplified further because 49 does not have any perfect cube factors other than 1. The x-intercept is a negative number approximately equal to -3.66 (found with a calculator).