Name:__________ warm-up 5-2 Quiz – 5-1

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Name:__________ warm-up 5-2 Quiz – 5-1 Simplify b2 ● b5 ● b3 Simplify (10a2 – 6ab + b2) – (5a2 – 2b2). Simplify 7w(2w2 + 8w – 5).

State the degree of 6xy2 – 12x3y2 + y4 – 26 Find the product of 3y(2y2 – 1)(y + 4)

Details of the Day Activities: EQ: How do polynomials functions model real world problems and their solutions? I will be able to… Activities: Warm-up Review homework Exam Review Questions Notes: Dividing Polynomials Class work/ HW Marking Period Exam – Friday April 11 All make-up work due Wednesday, April 9-no exceptions Vocabulary: synthetic division Divide polynomials using long division. . Divide polynomials using synthetic division.

5-2 Dividing Polynomials Division ** Division Division ** Division Division ** Division

A Quick Review Simplify b2 ● b5 ● b3 Simplify (10a2 – 6ab + b2) – (5a2 – 2b2). Simplify 7w(2w2 + 8w – 5).

A Quick Review State the degree of 6xy2 – 12x3y2 + y4 – 26 Find the product of 3y(2y2 – 1)(y + 4)

Notes and examples

Notes and examples Use long division to find (x2 + 5x + 6) ÷ (x + 3).

Notes and examples Use long division to find (x2 + 5x + 6) ÷ (x + 3). Simplify (a2 – 5a + 3)(2 – a)–1

Notes and examples Simplify (x2 – x – 7)(x – 3)–1?

Notes and examples

Notes and examples Use synthetic division to find Write the terms of the dividend so that the degrees of the terms are in descending order. Then write just the coefficients as shown. Write the constant r of the divisor x – r to the left. In this case, r = 2. Bring the first coefficient, 1, down as shown. Multiply the first coefficient by r : 1 ● 2 = 2. Write the product under the second coefficient. Then add the product and the second coefficient: –4 + 2 = –2. Multiply the sum, –2, by r : –2 ● 2 = –4. Write the product under the next coefficient and add: 6 + (–4) = 2. Multiply the sum, 2, by r : 2 ● 2 = 4. Write the product under the next coefficient and add: –4 + 4 = 0. The remainder is 0. (x3 – 4x2 + 6x – 4) ÷ (x – 2).

Notes and examples (x2 + 8x + 7) ÷ (x + 1). Use synthetic division to find (x2 + 8x + 7) ÷ (x + 1).

Notes and examples Rewrite the divisor so it has a leading coefficient of 1. (4y3 – 6y2 + 4y – 1) ÷ (2y – 1).

Notes and examples Use synthetic division to find (8y3 – 12y2 + 4y + 10) ÷ (2y + 1).