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This guide covers the essentials of dividing polynomials using long division, aimed at Algebra T3 students. It details the processes required to divide polynomials by monomials and binomials, with step-by-step instructions and example problems. Homework assignments (11.6 and 11.7) are included, encouraging practice on various polynomial division problems. Additionally, inspirational quotes emphasize the quiet determination needed to master challenging concepts. Prepare for Quiz 11.4-11.6 and reinforce your understanding of polynomial division.
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Today: 11.6 Check Up Quiz 11.4-6 11.7 Assignment Practice Character consists of what you do on the third and fourth tries. James A. Michener Algebra T3
Assignment: 11.7 p687 #15-22, 27-45 odd No trumpets sound when the important decisions of our life are made. Destiny is made known silently. Agnes DeMille Algebra T3
Assignment: 11.6 p679 #10-30 Quiz 11.4-11.6 tomorrow No trumpets sound when the important decisions of our life are made. Destiny is made known silently. Agnes DeMille Algebra T3
11.7 Dividing Polynomials Objectives: • Divide a polynomial with a monomials • Divide a polynomial with a binomial with long division Vocabulary: polynomial long division
Divide 12x2 – 20x + 8 by 4x. Divide 9x2 + 12x – 18 by 3x. distribute
Divide 4p2 – 10p by -2p. Divide 9x3 – 27x2 + 21x – 18 by 3x2.
Divide 453 by 18 with long division. Divide 658 by 28 with long division.
Divide Polynomials with long division: • Put dividend in standard form (with spacers) and into the division box • Multiply the divisor so the first terms are exact • Subtract. • Bring down next term • With no more terms, put the remainder in a fraction with the divisor. Divide x2 + 2x – 4 by x – 1.
Divide Polynomials with long division: • Put dividend in standard form (with spacers) and into the division box • Multiply the divisor so the first terms are exact • Subtract. • Bring down next term • With no more terms, put the remainder in a fraction with the divisor. Divide 3x2 + 7x – 12 by x + 3.
Divide Polynomials with long division: • Put dividend in standard form (with spacers) and into the division box • Multiply the divisor so the first terms are exact • Subtract. • Bring down next term • With no more terms, put the remainder in a fraction with the divisor. Divide x2 – 3x + 2 by x + 2.
Divide Polynomials with long division: • Put dividend in standard form (with spacers) and into the division box • Multiply the divisor so the first terms are exact • Subtract. • Bring down next term • With no more terms, put the remainder in a fraction with the divisor. Divide 6x2 – 11 by x + 2.
Divide Polynomials with long division: • Put dividend in standard form (with spacers) and into the division box • Multiply the divisor so the first terms are exact • Subtract. • Bring down next term • With no more terms, put the remainder in a fraction with the divisor. Divide 5n2 + 2 by n + 1.
Divide Polynomials with long division: • Put dividend in standard form (with spacers) and into the division box • Multiply the divisor so the first terms are exact • Subtract. • Bring down next term • With no more terms, put the remainder in a fraction with the divisor. Divide x – 12 + 3x2 by 3x + 1.
Divide Polynomials with long division: • Put dividend in standard form (with spacers) and into the division box • Multiply the divisor so the first terms are exact • Subtract. • Bring down next term • With no more terms, put the remainder in a fraction with the divisor. Divide 1 - x2 by x – 2.
Assignment: 11.7B p687 #27-46 Character consists of what you do on the third and fourth tries. James A. Michener Algebra T3
Assignment: 11.7 p687 #15-22, 27-45 odd No trumpets sound when the important decisions of our life are made. Destiny is made known silently. Agnes DeMille Algebra T3