SOLUTION: Tutors
Find only the rational zeros of the function
f(x)=2x^3+3x^2+2x+3
Thanx a Bunch!
Algebra.Com
Question 145262: Tutors
Find only the rational zeros of the function
f(x)=2x^3+3x^2+2x+3
Thanx a Bunch!
Answer by nabla(475) (Show Source): You can put this solution on YOUR website!
factor by grouping:
0=2x^3+3x^2+2x+3
0=2x(x^2+1)+3(x^2+1)
0=(2x+3)(x^2+1)
So 0=2x+3 or x^2+1=0
This can only be when 0=-3/2 (the x^2+1 is always>0 thus the solutions must be imaginary).
check via graph:
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