Solving Polynomial Equations (2024)

Identify the number of solutions/zeros.

$$x^7+3x^4-4x^2+2x=0$$

(a)  

Identify the number of roots/zeros.

$$8q^5-4q^3+7q=0$$

(a)  

Which of the following would be a root with 3i?

A 4th degree polynomial $$P\left(x\right)$$  has roots at $$-2,\ 4,\ and\ -7i.$$  What is the last root?

(a)  

If 4 and 5i are two roots of a third-degree polynomial, what is the other root?

(a)  

Identify the number of solutions/zeros.

$$5x^6+x^2-4=0$$

(a)  

$$\left(2c^3+13c^2+24c+8\right)\div\left(c+3\right)$$