Question

The zeros of a quadratic function are located at x=−8 and x=4.

Which expression represents such a function?

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[Awnsers]


(x−8)(x−4)

(x+8)(x−4)

(x+8)(x+4)

(x−8)(x+4)

Answer 1

The expression that represents such a function is: (x+8)(x-4)

Step-by-step explanation:-

The formula for a quadratic function in standard form is:

f(x) = a*x^2 + b*x + c

where a, b and c are coefficient values.

When given two zeros of a quadratic function, we can find the factors of the function by subtracting the zeros from "x". In this case, the zeros are given to us as x = -8 and x = 4.

So, the factors of the function are:

(x - (-8)) and (x - 4), which can be simplified as:

(x+8) and (x-4)

Therefore, the function will be the product of these two factors:

f(x) = (x+8)(x-4)

When we multiply these factors together and simplify the expression, we get the quadratic function in standard form as:

f(x) = x^2 + 4x - 32

So, the expression that represents the quadratic function with zeros at x = -8 and x = 4 is:

(x+8)(x-4)

Answer 2

`\sf \longrightarrow \: (x+8)(x−4)`

`\sf \longrightarrow \: x + 8 = 0 \qquad \: \:or \qquad \: x - 4 = 0`

`\sf \longrightarrow \: x = 0 - 8\qquad \: \:or \qquad \: x = 0 + 4`

`\sf \longrightarrow \: x = - 8\qquad \: \:or \qquad \: x = 4`

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Option [B] (x+8)(x−4)