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

Inbrunstlr

Inbrunstlr

Answered question

2022-09-30

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

Answer & Explanation

smh3402en

smh3402en

Beginner2022-10-01Added 11 answers

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
( x - 4 ) ( x + 3 ) = 0
equate each factor to zero and solve for x
x - 4 = 0 x = 4
x + 3 = 0 x = - 3
graph{(x^2-x-12)/(x^2+2x-35 [-10, 10, -5, 5]}

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