Brooke2013
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



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irkiz
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its mcq so its easy to solve
X is definitely wrong coz X is not the same as x

irkiz
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if (x+5) is a factor, then x = 5 would make the equation 0

irkiz
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if (x5) is a factor, then x= 5 makes the equation 0

irkiz
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substitute x = 5 and x = 5 see which one makes it 0

Brooke2013
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Neither of them do.

irkiz
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check again

Brooke2013
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There all 4 little x's I just didn't mean to make the two middle one's capital x's.

Brooke2013
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So I'll try the other two to see which one is right

irkiz
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i managed to find the answer by substituting a value

irkiz
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try x = 5 again

Brooke2013
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ok, I will

Brooke2013
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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

Brooke2013
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Is the answer x = 5 ?

hartnn
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yes, x=5 is the root , so x5 is the factor.

Brooke2013
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So the answer is D ? x  5

hartnn
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yup.

Brooke2013
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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
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5^3 = 125
125*2 = 250

hartnn
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5^2 = 25
25*14=350

hartnn
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24*5=120

Brooke2013
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Ok, thanks :)

hartnn
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got it ?