Which point is an x-intercept of the quadratic function f(x) = (x – 4)(x + 2)?(-4, 0)(-2, 0)(0, 2)(4, -2)
To find the x-intercepts of a quadratic function, we need to determine the values of x when the function equals zero
To find the x-intercepts of a quadratic function, we need to determine the values of x when the function equals zero. In other words, we need to find the values of x that make f(x) = 0.
For the given quadratic function f(x) = (x – 4)(x + 2), we can set f(x) equal to zero and solve for x:
(x – 4)(x + 2) = 0
Now, we can use the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero. In other words, if (a)(b) = 0, then a = 0 or b = 0.
Using this property, we can set each factor equal to zero and solve for x:
x – 4 = 0 or x + 2 = 0
Solving these equations gives us:
x = 4 or x = -2
Therefore, the x-intercepts of the quadratic function f(x) = (x – 4)(x + 2) are x = 4 and x = -2.
Therefore, the correct answer is: (-4, 0) and (-2, 0)
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