How do you find the zeros of the function f(x)=(x^2-x-12)/(x^2+2x-35)?

1 Answer
Mar 22, 2018

x=-3" and "x=4

Explanation:

"to find the zeros equate the numerator to zero and solve"

"solve "x^2-x-12=0

"The factors of - 12 which sum to - 1 are - 4 and + 3"

rArr(x-4)(x+3)=0

"equate each factor to zero and solve for x"

x-4=0rArrx=4

x+3=0rArrx=-3
graph{(x^2-x-12)/(x^2+2x-35 [-10, 10, -5, 5]}