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Find the zeros of the function f(x)=x^2+2x-15 explain how this process could be used to solve for the solutions the quadratic equation x^2+2x-15=0

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Answer:

3 , -5

Explanation:

hello :

f(x)=x²+2x-15

compliting squard : f(x)=(x²+2x+1) - 1-15

f(x) = (x+1)²-16

f(x) = 0 means : (x+1)²-4² =0

by identity : a²-b² =(a-b)(a+b).......a=x+1 and b= 4

(x+1-4)(x+1+4) = 0

(x-3)(x+5)=0

x-3=0 or x+5=0 so : x=3 or x= -5

the zeros of the function f(x)=x^2+2x-15 are : 3 , -5

User Dennis Sakva
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