Divide (2x^2-5x-3) by (x-3)

The expression simplifies to

Step-by-step explanation:

To divide the polynomials, we must first factor the trinomial into binomials so we can easily divide it by the binomial.  Factoring results in the expression .  Since these two values are multiplied, the can be canceled out by the divisor, which is the exact same expression.  This leaves us with our final .

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2