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anonymous
 one year ago
One of the factors of (3x^2 −16x + k) is (x − 7). Determine the value of k.
anonymous
 one year ago
One of the factors of (3x^2 −16x + k) is (x − 7). Determine the value of k.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.01. You know that the second expression that multiplies '(x7)' must have a 3x because if it didn't you would not be able to obtain 3x^2 therefore,

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[(x7)(3x+n)= 3x^2+xn21x7n\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Now the original equation was \[3x^216x+k\] now setting that equal to the new equation, \[3x^2+xn21x7n=3x^216x+k \rightarrow xn21x = 16x \rightarrow n = 5\] since n = 5 \[7n \rightarrow 7(5) = 35\] , k = 35

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1if x7 is a factor, then x =7 is one of the root of the equation 3x^2 −16x + k = 0 ! so, x= 7 satisfies that equation. just plug in x=7 in that and find k :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Refer to the attachment from Mathematica 9.
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