anonymous
  • anonymous
Determine which binomial is a factor of -2x^3 + 14x^2 - 24x + 20 A.) x + 5 B.) x + 20 C.) x - 24 D.) x - 5
Algebra
chestercat
  • chestercat
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anonymous
  • anonymous
its mcq so its easy to solve X is definitely wrong coz X is not the same as x
anonymous
  • anonymous
if (x+5) is a factor, then x = -5 would make the equation 0
anonymous
  • anonymous
if (x-5) is a factor, then x= 5 makes the equation 0

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anonymous
  • anonymous
substitute x = 5 and x = -5 see which one makes it 0
anonymous
  • anonymous
Neither of them do.
anonymous
  • anonymous
check again
anonymous
  • anonymous
There all 4 little x's I just didn't mean to make the two middle one's capital x's.
anonymous
  • anonymous
So I'll try the other two to see which one is right
anonymous
  • anonymous
i managed to find the answer by substituting a value
anonymous
  • anonymous
try x = 5 again
anonymous
  • anonymous
ok, I will
anonymous
  • anonymous
When I put the equation like this -2(5)^3 + 14(5)^2 - 24(5) + 20 I get 100 + 1900 - 120 + 20 and when you add it up it equals 4900
anonymous
  • anonymous
Is the answer x = 5 ?
hartnn
  • hartnn
yes, x=5 is the root , so x-5 is the factor.
anonymous
  • anonymous
So the answer is D ? x - 5
hartnn
  • hartnn
yup.
anonymous
  • anonymous
I wish I understood how you got that bc I tried to plugg 5 into where the x's are and I got the answer 4900 not 0
hartnn
  • hartnn
5^3 = 125 125*2 = 250
hartnn
  • hartnn
5^2 = 25 25*14=350
hartnn
  • hartnn
24*5=120
anonymous
  • anonymous
Ok, thanks :)
hartnn
  • hartnn
got it ?

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