Question

Asked Mar 21, 2019

I need help w/ 9, 10, & 11

Step 1

We’ll answer the first question i.e. Q.9. Please submit a new question for the remaining.

Step 2

a.

Given fraction is:

The denominator is in factored form.

So the fraction is written using variables as:

Multiplying by (*x*-4)(*x*+2) on both sides:

Grouping *x* terms and constant terms:

Two polynomials are equal when the respective coefficients are equal. So, equating the coefficients:

Solving the system of equations for A and B:

Hence the partial decomposition of the fraction is given by:

Step 3

b.

Given fraction is:

The denominator is in factored form.

So the fraction is written using variables as:

Multiplying by *x*(*x*-3)2 on both sides:

This can be solved by plugging different values for *x*.

Plugging *x*=0,

Plugging ...

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