Determine the number of zeros of the polynomial function.f(x) = x3 + 4x2 + 1
1 answer:
Answer:
1 real zero; 2 complex zeros
Step-by-step explanation:
A cubic will have 3 zeros. The number of positive and negative real zeros can be determined using Descartes' rule of signs.
There are no sign changes in the coefficients of the function as written, so there are no positive real roots. (+++)
If odd-degree terms have their sign changed, then there is one sign change. (-++) That indicates there is one negative real root.
The remaining two roots will be complex.
_____
A graphing calculator can confirm this.
You might be interested in
Here is a picture of the graph put into desmos
Desmos is super easy all you have to do is put in the equation and it graphs it for you but you can also use it as a regular calculator.
