SOLUTION: Please help me figure out how to find the complex zeros of the equation: f(x)=4x^3+19x^2-61x+14

Question 322743: Please help me figure out how to find the complex zeros of the equation:
f(x)=4x^3+19x^2-61x+14
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Since there are three roots and complex roots come in pairs, at least one must be real.

All three roots are real for this equation.
Looks like and are roots.
Verify using the equation.
I'll do one, you verify the other.

.
.
.
Now that you have two factors.

You can use polynomial long division to find the remaining factor.

RELATED QUESTIONS
Please help me solve this equation find all the complex zeros of:... (answered by Edwin McCravy)

Find the complex zeros of the polynomial function. Write f in factored form. {{{ f(x) = (answered by jsmallt9)

Could someone please help me!! I really need help asap please!!!! Find the horizontal... (answered by stanbon)

I am having trouble with learning polynomials. Please help me. Find the complex zeros... (answered by MathLover1)

could you please help me figure the anser to this division problem.... (answered by stanbon)

Find all real zeros: {{{ f(x)=4x^4-8x^3-19x^2+23x-6 }}} Thanks for the... (answered by KMST)

Find all of the zeros of each function... (answered by ewatrrr)

Please help me solve this equation: {{{ f(x)=-x^3-x^2+4x+4=0}}}. Find the... (answered by Fombitz)

Find all zeros, both real and complex, of the polynomial function f(x)=... (answered by jrfrunner)