SOLUTION: What are the possible number of positive, negative and imaginary zeros of: f(x)= x^3 - 11x^2 + 8x

SOLUTION: What are the possible number of positive, negative and imaginary zeros of: f(x)= x^3 - 11x^2 + 8x - 20

Question 1180205: What are the possible number of positive, negative and imaginary zeros of:
f(x)= x^3 - 11x^2 + 8x - 20
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

Use Decartes' rule of signs...
So, the coefficients are ,,,
As can be seen, there are changes.
This means that there are or positive real roots.
To find the number of negative real roots, substitute with in the given polynomial:
becomes
The coefficients are ,,,.
As can be seen, there are changes.
This means that there are negative real roots.
Answer:
or positive real zeros
negative real zeros
or imaginary zeros

RELATED QUESTIONS
State the possible number of positive real zeros, negative real zeros & imaginary zero of (answered by kev82)

what are the possible number of positive,negative,and imaginary roots of... (answered by richwmiller)

What are possible number of positive ,negative and imaginary zeros of P(x) . P(x)=... (answered by greenestamps)

What is the possible number of imaginary zeros of {{{ f(x) = 2x^3 - 4x^2 + 8x - 3 }}}... (answered by khwang)

With the polynomial: f(x) = 5x^3 + 8x^2 -4x + 3 a. The Fundamental Theorem of Algebra (answered by solver91311)

With the polynomial: f(x) = 5x^3 + 8x^2 -4x + 3 a. The Fundamental Theorem of Algebra... (answered by stanbon)

state the possible numbers of positive real zeros, negative real zeros, amd imaginary... (answered by josgarithmetic)

State the number of positive real zeros, negative real zeros, and imaginary zeros for... (answered by Nate)

state the number of positive real zeros, negative real zeros, and imaginary zeros for... (answered by richwmiller)