SOLUTION: The equation, kx^2 - 3x - k = 0 has a root of x = 2. Determine the value of k and write the expression, kx^2 - 3x - k, as a product of factors. Very confused on how I go about s

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The equation, kx^2 - 3x - k = 0 has a root of x = 2. Determine the value of k and write the expression, kx^2 - 3x - k, as a product of factors. Very confused on how I go about s      Log On


   



Question 941407: The equation, kx^2 - 3x - k = 0 has a root of x = 2. Determine the value of k and write the expression, kx^2 - 3x - k, as a product of factors.
Very confused on how I go about solving this question.

Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
given equation
+kx%5E2-3x-k=0
put x=2 in the above equation
+k%2A2%5E2-3%2A2-k+=0
4k-6-k=0
+3k-6=0
move -6 to the right
++3k+=+6
divide with 3 on both sides
+3k%2F3++=+6%2F3
+k+=2
now put k = 2 in the expression ++kx%5E2-3x-k
+2x%5E2-3x-2
now we have to write above expression as product of factors
+2x%5E2-3x-2+=++2x%5E2-4x%2Bx-2
= 2x(x-2)+1(x-2)
=(x-2)(2x+1)