Answered

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What are the zeros of the function f(x) = (2x+6)(x-4)?A. X = 6 and x = -4B. x = 3 and x = -4C. x = -3 and x = 4D. X=-6 and x = -4

Sagot :

The zeroes of the function are the values of x which make it equal to zero

Since f(x) = (2x + 6)(x - 4)

Then to find the zeroes of f, equate f(x) by 0

[tex]\begin{gathered} f(x)=0 \\ (2x+6)(x-4)=0 \end{gathered}[/tex]

Equate each bracket by 0 to find x

[tex]2x+6=0[/tex]

Subtract 6 from each side

[tex]\begin{gathered} 2x+6-6=0-6 \\ 2x=-6 \end{gathered}[/tex]

Divide both sides by 2

[tex]\begin{gathered} \frac{2x}{2}=\frac{-6}{2} \\ x=-3 \end{gathered}[/tex][tex]x-4=0[/tex]

Add 4 to each side

[tex]\begin{gathered} x-4+4=0+4 \\ x=4 \end{gathered}[/tex]

The zeroes of the function are x = -3 and x = 4

The answer is C

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