Factor the equation: (x-7)(x+4) Solve for X: X-7=0 x+4=0 X=7 x=-4 A zero is when the function crosses the x-axis which is solved by setting the function equal to zero.
x 2 − 3 x − 28 = 0 x 2 − 7 x + 4 x − 28 = 0 x ( x − 7 ) + 4 ( x − 7 ) = 0 ( x + 4 ) ( x − 7 ) = 0 x = − 4 ∨ x = 7
The real zeros of the function f ( x ) = x 2 − 3 x − 28 are x = 7 and x = − 4 . We determined these by factoring the quadratic equation and solving for x. This approach led us to the two solutions that make the function equal to zero.
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