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Maths-

SAT

Easy

Question

Which of the following equivalent forms of the function f (x)= 4x² +4x−24 is the most suitable to indicate the x-coordinates of the x‑intercepts of the graph of y = f(x) in the xy‑plane?

f(x)= 4(x² +x−6)
f(x) = 4(x -2) (x + 3)
f(x) = 2(x -2) (2x + 6)
f(x) = (2x - 4) (2x + 6)

The correct answer is: f(x) = 4(x -2) (x + 3)

f(x) = 4x² + 4x - 24.
The x-intercept of function is the value of x. when f(x) = 0.
$4 x squared plus 4 x minus 24 equals 4 open parentheses x squared plus x minus 6 close parentheses equals 4 open parentheses x squared plus 3 x minus 2 x minus 6 close parentheses$
$equals 4 left parenthesis x left parenthesis x plus 3 right parenthesis minus 2 left parenthesis x plus 3 right parenthesis right parenthesis equals 4 left parenthesis x plus 3 right parenthesis left parenthesis x minus 2 right parenthesis$

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