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Warm up. 1. 2. Lesson 6-7 Polynomial Long Division. Objective: To divide polynomials. Polynomial long division. Divide 2 x ³ + 3 x ² - x + 1 by x + 2. x + 2 is the divisor. 2x³ + 3x² - x + 1 is the dividend. The quotient will be here. Polynomial long division.
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Warm up • 1. • 2.
Lesson 6-7 Polynomial Long Division Objective: To divide polynomials
Polynomial 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.
Polynomial 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.
Polynomial long division Now multiply 2x² by x + 2 and subtract
Polynomial long division Bring down the next term, -x.
Polynomial long division Now divide –x², the first term of –x² - x, by x, the first term of the divisor which gives –x.
Polynomial long division Multiply –x by x + 2 and subtract
Polynomial long division Bring down the next term, 1
Polynomial long division Divide x, the first term of x + 1, by x, the first term of the divisor which gives 1
Polynomial long division Multiply x + 2 by 1 and subtract
Polynomial long division In division, you must have a place for each power.