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# The zeros of the function f(x) 2x^2 - 4x - 6 are?

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The zeros of the function f(x) 2x^2 -  4x -  6 are?

Guest Jun 12, 2017

#1
+4716
+2

We want to know what  x  values make   2x2 - 4x - 6   equal to   0

2x2 - 4x - 6  =  0         Divide through by  2  .

x2 - 2x - 3  =  0           What two numbers add to  -2  and multiply to  -3  ? →   +1   and   -3

So...we can factor it like this...

(x + 1)(x - 3)  =  0        Set each factor equal to zero and solve for x.

x + 1  =  0          and          x - 3  =  0

x  =  -1               and          x  =  3

hectictar  Jun 13, 2017
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#1
+4716
+2

We want to know what  x  values make   2x2 - 4x - 6   equal to   0

2x2 - 4x - 6  =  0         Divide through by  2  .

x2 - 2x - 3  =  0           What two numbers add to  -2  and multiply to  -3  ? →   +1   and   -3

So...we can factor it like this...

(x + 1)(x - 3)  =  0        Set each factor equal to zero and solve for x.

x + 1  =  0          and          x - 3  =  0

x  =  -1               and          x  =  3

hectictar  Jun 13, 2017

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