Given the function f(x)=3x^2+5x+2

State the number of real roots and number of complex roots.

f(x)=3x^2+5x+2
=3x^2+3x+2x+2
=3x(x+1)2(x+1)
=(3x+2)(x+1)
Find roots.
3x+2=0
3x=-2

x=-2/3
x+1=0
x=-1

Therefore, there are TWO REAL ROOTS and ZERO COMPLEX ROOTS.
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