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(6x^2 – 31x + 5) / (x – 5)

(6x^(2)-31x+5)/(x-5)
For a polynomial of the form ax^(2)+bx+c, find two factors of a*c (30) that add up to b (-31).In this problem -(1)/(6)*-5=(5)/(6) (which is (c)/(a)) and -(1)/(6)-5=-(31)/(6) (which is (b)/(a)) , [ so insert -(1)/(6) as the right hand term of one factor and -5 as the right-hand term of the other factor.
((x-(1)/(6))(x-5))/(x-5)
Remove the fraction by multiplying the first term of the factor by the denominator of the second term.
((6x-1)(x-5))/(x-5)
Reduce the expression by canceling out the common factor of (x-5) from the numerator and denominator.
((6x-1) (x-5) )/(

(x-5) )
Reduce the expression by canceling out the common factor of (x-5) from the numerator and denominator.
(6x-1)
Find the derivative of the expression.
(d)/(dx) (6x-1)
Remove the parentheses around the expression 6x-1.
6x-1
To find the derivative of 6x, multiply the base (x) by the exponent (1), then subtract 1 from the exponent (1-1=0). Since the exponent is now 0, x is eliminated from the term.
(d)/(dx) 6x-1=6+(d)/(dx) -1
Since -1 does not contain x, the derivative of -1 is 0.
(d)/(dx) 6x-1=6+0
Add 0 to 6 to get 6.
(d)/(dx) 6x-1=6
The derivative of ((6x^(2)-31x+5))/((x-5)) is 6.
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Asked 9/3/2012 5:36:01 PM

Updated 7/22/2014 4:25:58 PM

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(6x^2 – 31x + 5) / (x – 5)

= (6x^2/x-5) - (31x/x-5) + (5/x-5)

= 6x - 1

(6x - 1)(x - 5)

= 6x^2 - 30x - x + 5

= 6x^2 - 31x + 5

= (6x^2/x-5) - (31x/x-5) + (5/x-5)

= 6x - 1

(6x - 1)(x - 5)

= 6x^2 - 30x - x + 5

= 6x^2 - 31x + 5

Added 7/22/2014 4:25:58 PM

This answer has been confirmed as correct and helpful.

How do i report this site for diliveritly giveing me wrong answers I just failed my work **Weegy:** I'm sorry to hear that. Sometimes the auto-answers are wrong. If you click bad you will be connected to a live expert. To ensure accuracy, I recommend that you ask the expert to provide his or her source for the answer. [ If you have received a lot of wrong answers for a particular expert you can use the contact link near the bottom of the screen to report the expert. I hope that you will give Weegy another try! ] (More)

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Asked 8/27/2012 3:18:37 PM

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Updated 7/1/2014 11:16:24 PM

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Expert Answered

Updated 5/27/2014 3:10:13 PM

1 Answer/Comment

x^2 + 12x +11 = (x + 1)(x + 11)

Added 5/27/2014 3:10:09 PM

This answer has been confirmed as correct and helpful.

Confirmed by andrewpallarca [5/27/2014 3:10:38 PM]

Factor each Polynomial
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Expert Answered

Updated 5/29/2014 2:45:42 PM

1 Answer/Comment

x^2 + 12x + 11 = (x + 1)(x + 11)

Added 5/29/2014 2:45:40 PM

This answer has been confirmed as correct and helpful.

Confirmed by andrewpallarca [5/29/2014 2:49:05 PM]

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