Long Division (Rational expressions)

What is the first step to solve a rational expression using long division?

• Rewrite it in division form

• Check if it's in descending order

• Check if it's in ascending order

• Combine like terms

How do you set up a problem to solve using long division?

• Denominator outside, Numerator inside the division symbol

• Denominator inside, Numerator outside the division symbol

• Leave the fraction as is

• Reciprocal of the fraction

Solve using long division

• $x-2$

• $x+2$

• $2x-2$

• $2x+2$

Solve using long division

• $x^2-2x-2+\frac{3}{2x+3}$

• $x^2-2x-2-\frac{3}{2x+3}$

• $x^2+2x-2-\frac{15}{2x+3}$

• $x^2+2x-2+\frac{15}{2x+3}$

Solve using long division

• $x^2-4x-10+\frac{1}{x+4}$

• $x^2-4x-10-\frac{1}{x+4}$

• $x^2-4x-10$

• $1$

What is the remainder?

• -31

• 31

• 23

• -23

Solve using long division

• $x+5$

• $x-5$

• $x-8$

• $x+8$

Solve using long division

• $x^2-7$

• $x+7$

• $x-7$

• $x^2+3x-54$

Solve using long division

• $4x-2+\frac{1}{3x-1}$

• $4x+2+\frac{1}{3x-1}$

• $4x-2$

• $4x+2$

Solve using long division

• $x^2-2x-2+\frac{1}{x-2}$

• $x^2-2x-2-\frac{1}{x-2}$

• $x^2-2x-2$

• $1$