Question

a polynomial has one quadratic factor and 3 linear factors. One of the linear factors has multiplicity two. What is the degree of the polynomial

Answer 1

Answer:

5

Step-by-step explanation:

a polynomial has one quadratic factor and 3 linear factors. One of the linear factors has multiplicity two. What is the degree of the polynomial

A polynomial with one quadratic obtains the forms ( ax² +bx +c ) with 3 linear factors.

Suppose the three linear fractions are :

(x- P) (x-Q) (x- R)

∴

The polynomial = ( ax² +bx +c )(x- P) (x-Q) (x- R)

By factorization, the highest degree of the polynomial = 5