Dividing polynomials This PowerPoint presentation demonstrates two different methods of polynomial division. Click here to see algebraic long division Click here to see dividing “in your head”

#1 Divide a polynomial by a monomial.

#2 Divide a polynomial by a monomial.

#3 Divide the following numbers. Check

Long Division Divide the first term of the numerator by the first term of the denominator. Distribute your quotient by the entire polynomial in the denominator. Distribute a negative by through your product.

#4 Divide the following numbers (Long Division) Remainder

Algebraic long division Divide 2x³ + 3x² - x + 1 by x + 2 x + 2 is the divisor 2x³ + 3x² - x + 1 is the dividend The quotient will be here.

Algebraic long division First divide the first term of the dividend, 2x³, by x (the first term of the divisor). This gives 2x². This will be the first term of the quotient.

Algebraic long division Now multiply 2x² by x + 2 and subtract

Algebraic long division Bring down the next term, -x.

Algebraic long division Now divide –x², the first term of –x² - x, by x, the first term of the divisor which gives –x.

Algebraic long division Multiply –x by x + 2 and subtract

Algebraic long division Bring down the next term, 1

Algebraic long division Divide x, the first term of x + 1, by x, the first term of the divisor which gives 1

Algebraic long division Multiply x + 2 by 1 and subtract

Algebraic long division The quotient is 2x² - x + 1 The remainder is –1.

#5 Dividing a polynomial by a polynomial (Long Division) Check

#6 Dividing a polynomial by a polynomial (Long Division) Check

#7 Dividing a polynomial by a polynomial (Long Division)

Homework Pages 236 – 237 #’s 4, 10, 15, 21, 22, 24