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Sergio [31]
3 years ago
14

Write p(x) = 21 + 24x + 6x2 in vertex form.

Mathematics
1 answer:
Helen [10]3 years ago
8 0
To do this, complete the square:

p(x) = 21 + 24x + 6x2  =>  <span>p(x) = 6x2 + 24x + 21

Rewrite the first 2 terms as


                                                   6(x^2 + 4x)

then you have </span><span>p(x) =  6(x2 + 4x                           ) + 21
                            
Now complete the square of x^2 + 4x:

                         p(x) = 6(x^2 + 4x + 4 - 4)            + 21
                                 = 6(x+2)^2 - 24 + 21

                          p(x)  = 6(x+2)^2 - 3        this is in vertex form now.

We can read off the coordinates of the vertex from this:  (-2, -3)</span>
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