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What is the value of k if x3 + kx2 + 7x + 5 is divided by x + 6 and gives a remainder of −1?

 Feb 8, 2016

Best Answer 

 #2
avatar+118696 
+5

What is the value of k if x3 + kx2 + 7x + 5 is divided by x + 6 and gives a remainder of −1?

 

I am going to use remainder theorum.  :)

 

Here is one of many references for it if you want to take a look.

https://www.mathsisfun.com/algebra/polynomials-remainder-factor.html

 

f(x)=x3+kx2+7x+5f(6)=(6)3+k(6)2+7(6)+5f(6)=216+36k42+5f(6)=253+36kButf(6)=11=253+36k252=36kk=7

 Feb 8, 2016
 #1
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What is the value of k if x3 + kx2 + 7x + 5 is divided by x + 6 and gives a remainder of −1?

 

[ x^3 + kx^2 + 7x + 5] / [ x + 6] = -1

 

x=1   and   k= -20, or

x=2   and   k=-8.75, or

x=3   and   k= -6 8/9

 Feb 8, 2016
 #2
avatar+118696 
+5
Best Answer

What is the value of k if x3 + kx2 + 7x + 5 is divided by x + 6 and gives a remainder of −1?

 

I am going to use remainder theorum.  :)

 

Here is one of many references for it if you want to take a look.

https://www.mathsisfun.com/algebra/polynomials-remainder-factor.html

 

f(x)=x3+kx2+7x+5f(6)=(6)3+k(6)2+7(6)+5f(6)=216+36k42+5f(6)=253+36kButf(6)=11=253+36k252=36kk=7

Melody Feb 8, 2016
 #3
avatar+130466 
0

Very nice, Melody  !!!!

 

 

 

cool cool cool

 Feb 8, 2016
 #4
avatar+118696 
0

Thanks Chris  :))

 Feb 8, 2016

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