Bell Ringer 9-26-16 In elementary school, you learned long division. Describe, in detail, how to divide 232 by 4 without a calculator.

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Presentation transcript:

Bell Ringer 9-26-16 In elementary school, you learned long division. Describe, in detail, how to divide 232 by 4 without a calculator.

Dividing Polynomials Monday September 26, 2016

Long Division For Polynomials

Divide a Polynomial by a Monomial The 1st way may be what you are used to seeing. The 2nd way is written like a rational function. Just like fractions, we can split it up. Then we can follow the rules of exponents. 6xy2 - 3xy + 2x2y xy xy xy 6y -3 + 2x Divide a Polynomial by a Monomial Ex: (6xy2 – 3xy + 2x2y) ÷xy Is the same as: 6xy2 – 3xy + 2x2y xy

You Try (5ab2 – 4ab + 7a2b) (ab)-1 Hint – First make the negative exponent positive.

Divide a Polynomial by a Binomial Just like in elementary school… Divide Multiply Subtract Bring Down If there is a remainder… write it as a fraction. Like with decimals, you may need a placeholder. Divide a Polynomial by a Binomial Ex: (x2 – 10x – 24 ) ÷ (x + 2) (8x4 – 4x2 + x +4) ÷ (2x + 1) (x3 + y3) ÷ (x + y)

You Try 1. (3a4 – 6a3 – 2a2 + a – 6) ÷ (a + 1) 2. (t2 + 3t – 9) ÷ (5 – t ) Hint: reorder the denominator 3. (3x3 – 5x2 + 10x – 3) ÷ (3x + 1)

Polynomial Division Worksheet Classwork (1-10) Homework (11-20)

Exit Ticket What are the 4 steps for Polynomial Long Division?