SOLUTION: Solve the problem. Solve the equation 2x3 - 23x2 + 71x - 30 = 0 given that 5 is a zero of f(x)= 2x^3- 23x^2 = 71x- 30 .

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Solve the problem. Solve the equation 2x3 - 23x2 + 71x - 30 = 0 given that 5 is a zero of f(x)= 2x^3- 23x^2 = 71x- 30 .       Log On


   

Question 468360: Solve the problem.
Solve the equation 2x3 - 23x2 + 71x - 30 = 0 given that 5 is a zero of f(x)= 2x^3- 23x^2 = 71x- 30 .
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

(2x3 - 23x2 + 71x - 30)/(x-5) = 2x^2 -13x + 6

Using synthetic division to determine the 2x^2 -13x + 6

5	2	-23	 71	-30

		 10	-65	 30

	2     -13	  6	  0



(x-5)(2x^2 - 13x + 6) = 0

factoring

(x-5)(2x -1)(x-6) = 0

(x-5)= 0     x= 5

(2x -1)= 0   x= 1/2

(x-6) = 0    x= 6