SOLUTION: please help me. i need help i cant figure this out. if the roots of y = x2 + 10x + 24 are(x + 6)(x + 4) , what is the axis of symmetry?

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Question 187108This question is from textbook
: please help me. i need help i cant figure this out.

if the roots of y = x2 + 10x + 24 are(x + 6)(x + 4) , what is the axis of symmetry? This question is from textbook

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


First of all, and are not the roots of



They are the factors of the trinomial. x = -6 and x = -4 are the roots of:



The axis of symmetry of any polynomial equation of the form:



is the line where is the x coordinate of the vertex. The x coordinate of the vertex is given by either:



or the average of the roots:



Where and are the roots of




In your case:



or



and the equation for the axis of symmetry is:



John