Form A Polynomial Function 2

[mathdad]

Given zeros -2, multiplicity 2; 4, multiplicity 1; degree 3, form a polynomial function.

NOTE: I seek solution steps only. I want to try this on my own (following your steps) before posting my work here.

 

[MarkFL]

This will follow the same advice I gave to the previous question.

 

[Otis]

Given zeros -2, multiplicity 2; 4, multiplicity 1; degree 3, form a polynomial function.

NOTE: I seek solution steps only ...

For each zero, write the corresponding factors of the polynomial. For each zero, copy the factor so that it appears the same number of times as the zero's multiplicity.

EGs:

A zero is -5 having multiplicity 2

The polynomial's factorization will contain (x + 5)(x + 5)

A zero is 9 having multiplicity 4

The polynomial will contain (x-9)(x-9)(x-9)(x-9)

Some zeros are -8 and 11 (each with multiplicity 2) and -1 (with multiplicity 1)

The polynomial will contain

(x+8)(x+8)(x-11)(x-11)(x+1)

?

 

[mathdad]

This will follow the same advice I gave to the previous question.

Ok. Understood.