function P(x) help

Question

Answer the following questions for the function, p(x)=−2x−10/x2−3x−10

D) For what value(s) of x does p(x)=0

Answer 1

(-2x-10)/(x^2-3x-10)

p(x) = -2(x+5)/(x-5)(x+2)

p(-5) =-2(-5+5)/(-5-5)(-5+2) = 0/30 = 0

when x=-5, p(x)=0

another way to solve the problem

is use a graphing calculator and see

where the graph intersect the x axis

the x intercept = the zero = the x value you're looking for