Answer:
A Polynomial Equation is of the form where is the degree of the polynomial equation.
Definition of Terms
Degree of the Equation- This is the highest exponent that is present in the given function.
Roots of the Equation- This is the value of when the function is zero. Sometimes this is called the zeros of the equation.
Multiplicity - This is the number of times that a factor appears in the factored form of the equation.
Solutions
4.
The degree of the equation can be solved by multiplying all the variables from the equation.
The degree of the equation should be 3.
The roots of the equation cabn be solved by applying the zero product property or setting each factor to zero and solve for the unknown variable.
Therefore the roots are 2, -2 and 4. Simply count the number of roots solved. The number of roots is 3.
5.
For the degree, and the number of roots of the equation, follow the steps in the solution of number 4.
Similar to the solutions above, set each factor to zero and solve for the unknown variable.
If the equation is in the form of , then it said to be that the one of the roots is multiplicity of . Thus, one of the zeros of the given function in item number 5 is 1 multiplicity 2.
6.
Degree: 5
Roots: -4 multiplicity 2, 1 multiplicity 3
Number of Roots: 5
7.
Degree: 2
Roots: -5 and -1
Number of Roots: 2
8.
Degree: 4
Roots: 0 multiplicity 2, 1, and -1
Number of Roots: 4
Step-by-step explanation:
