Dividing Quadratics by Linear Expressions with Remainders

Solve x^2 + 5x + 8 = 0

Simplify x^2 + 5x + 8 over x + 2

Integrate x^2 + 5x + 8

Find the roots of x^2 + 5x + 8

Factoring and completing the square

Factoring and algebraic long division

Algebraic long division and substitution

Substitution and completing the square

Because the numbers did not multiply to 5

Because the numbers did not add up to 5

Because the numbers did not multiply to 8

Because the numbers did not add up to 8

x^2 + 5x + 6 + 2

x^2 + 5x + 8 + 2

x^2 + 5x + 8 - 2

x^2 + 5x + 6 - 2

Divide the highest degree term of the numerator by the highest degree term of the denominator

Multiply the highest degree term of the numerator by the highest degree term of the denominator

Subtract the highest degree term of the numerator from the highest degree term of the denominator

Add the highest degree term of the numerator to the highest degree term of the denominator

1

x

2x

x^2

1

0

3

2

Constrain it to exclude x = 2

Constrain it to exclude x = -2

Constrain it to exclude x = 0

Constrain it to exclude x = 1

It shows the part of the denominator that can be divided by the numerator

It shows the part of the denominator that cannot be divided by the numerator

It shows the part of the numerator that cannot be divided by the denominator

It shows the part of the numerator that can be divided by the denominator

Because it avoids complex subtraction

Because it avoids complex addition

Because it avoids complex multiplication

Because it avoids complex factoring