SOLUTION: Find the real zeroes of f(x)= 3x^3-x^2-18x=6 DO NOT approximate-use rasicals as nececssary.

Algebra.Com
Question 192286: Find the real zeroes of f(x)= 3x^3-x^2-18x=6 DO NOT approximate-use rasicals as nececssary.
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
First, let's factor


Start with the given expression


Group like terms


Factor out the GCF out of the first group. Factor out the GCF out of the second group


Since we have the common term , we can combine like terms


So factors to


This means that factors to


To find the zeros, set the right side equal to zero:




or Use the zero product property


, or Solve for "x" in each case


So the zeros are , or

RELATED QUESTIONS

FIND ALL REAL ZEROES OF THE FUNCTION F(X)=2X^3+15X^2+22X-15 (answered by lynnlo)
Without graphing f(x)=x^2-8x+6, find the real... (answered by Fombitz)
Find all the zeroes for f(x)=x^3+4x^2-5x and write the function f(x) as a product of... (answered by ewatrrr)
How do you: Find the other zeroes of f(x)= x^3+5x^2-18x-72 given that one zero is 4? (answered by richwmiller)
Find all the zeroes, real and/or complex, for... (answered by ReadingBoosters)
How do I find the zeroes of a function of f(x)= -x squared plus 3x plus 6 ? (answered by jim_thompson5910)
Find the zeroes of f(x)=(x-2)3-3x+8. 2x3=x2+6x.... (answered by arallie)
f(x)=x^3+2x^2-5x-6 find the real zeros of "f"? X= use the real zeros to factor "f" (answered by stanbon)
Find the real zeroes of... (answered by ewatrrr)
Determine the number of real zeroes and number of imaginary zeroes- f(x)=x power of... (answered by Alan3354)