Question

(M^3 - 13m^2 + 46m -20) ➗ (m - 7) , you get

Answer 1

We will investigate the method of division of polynomials.

The notations used in the division of polynomials is as such:

`Dividend,\text{ Divisor, Quotient , Remainder}`

The division of polynomials in fractions is expressed as such:

`(Dividend)/(Divisor)`

We will go ahead and express the given polynomials in a fraction form:

`\frac{m^3-13m^2\text{ + 46m - 20}}{m\text{ - 7}}`

We will perform the long-division process in the following form:

We will go ahead and plug in the respective polynamials in the above displayed formulation:

The long division process is summarized in the following steps.

Step 1: Select a quoteint which can either be a ( cosntant, polynomial, or a combination ) that would eliminate the highest order of the dividend polynomial.

Note: The quotient will only be a single term!

E.g: The first quotient selected is ( m^2 ) , hence:

Step 2: Start eliminating every successive order of polynomial by subracting the result of ( quotient*divisor ) from existing polynomials.