Dividing Polynomials

Product rule

Power rule

Quotient rule

Zero exponent rule

10x^{15}

10x^{5}

18x^{5}

22x^{2}

Divide the coefficients of each term by the monomial's coefficient

Subtract the exponents of like variables

Multiply the exponents of like variables

Add the coefficients of each term to the monomial's coefficient

10x^3

+5x^2

+4x

-6

Divide, Multiply, Subtract, Bring down, Repeat

Multiply, Divide, Subtract, Bring down, Repeat

Divide, Subtract, Multiply, Bring down, Repeat

Divide, Multiply, Bring down, Subtract, Repeat

The quotient is x + 3

There is no remainder

The divisor is x + 3

The dividend is x^2 + 5x + 6