domaniburns domaniburns
  • 21-03-2018
  • Mathematics
contestada

Mia is factoring the polynomial x2 + 4x – 12. She uses the steps shown. In which step did Mia make an error?

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MsEHolt MsEHolt
  • 18-06-2018
While Mia's answer is not shown, the correct process is:

This trinomial is in the form ax²+bx+c.  In this case, x=1.  We want factors of c (in our trinomial, -12) that sum to b (in our trinomial, 4).  

To make -12, we can multiply:
1(-12)
-1(12)
2(-6)
-2(6)
3(-4)
-3(4)

The correct set of factors are the ones that sum to positive 4.  The only ones that do this are -2 and 6.  These are the roots, so factored form is:
(x-2)(x+6).
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elibond19 elibond19
  • 11-06-2019

she make an error in the last step

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