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[8.01] Factor completely: −7x2 + 14x − 21 −1(x2 − 14x + 21) −7x(x2 − 2x + 3) −7(x2 + 2x − 3) −7(x2 − 2x + 3) I think its A help please
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each term has a common factor of \(-7\)
yea
so not A
oh ok
gotta be \[-7(\text{something})\]
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ok
what would give you \(14x\) ? i .e. fill in the blank \(-7\times \)___ \(=14x\)
2
no actually \(-7\times2x=-14x\) but you want \(14x\)
ok
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you need \(-2x\) because \(-7\times -2x=14x\)
ok
and finally you need \(-7\times \)____\(=-21\)
what would go in the blank?
3
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yes \(+3\)
so \[−7x^2 + 14x − 21=-7(x^2-2x+3)\]
so its D
yes it is
nicely done :)
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