# A polynomial function #p# can be factored into seven factors: #( x-3), ( x+1)#, and 5 factors of #(x -2)#. What are its zeros with multiplicity, and what is the degree of the polynomial? Explain.

##### 1 Answer

#### Answer:

Zero 3 has multiplicity 1, zero -1 has multiplicity 1, and zero 2 has multiplicity 5. The degree of the polynomial is 7.

#### Explanation:

The multiplicity of an equation is how many times a zero repeats.

In the equation, zero 3 has multiplicity 1, zero -1 has multiplicity 1, and zero 2 has multiplicity 5.

The degree of the whole polynomial is the highest degree out of every term.

So first you have to expand:

So the degree of