WARM UP 1. Factor the polynomial completely. 27 – y 3 2. What are the real number solutions of the equation 2x = x 2 + x 3 ?

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WARM UP 1. Factor the polynomial completely. 27 – y 3 2. What are the real number solutions of the equation 2x = x 2 + x 3 ?

Homework Q’s

Dividing Polynomials using Long Division EQ: How is Long Division utilized to divide a polynomial functions? Assessment: Students will write a summary on the steps to divide polynomials using long division

EQ: How is Long Division utilized to divide a polynomial functions? Assessment: Students will write a summary on the steps to divide polynomials using long division KEY TERMS Polynomial long division – a way to divide polynomials

EQ: How is Long Division utilized to divide a polynomial functions? Assessment: Students will write a summary on the steps to divide polynomials using long division Use Polynomial Long Division Multiply divisor by 3x 4 /x 2 = 3x 2 3x 4 – 9x x 2 4x 3 – 15x 2 + 4x Subtract. Bring down next term. Multiply divisor by 4x 3 /x 2 = 4x 4x 3 – 12x x – 3x 2 – 16x – 6 Subtract. Bring down next term. Multiply divisor by – 3x 2 /x 2 = – 3 –3x 2 + 9x – 15 – 25x + 9 remainder – 3 x 2 – 3x + 5 3x 4 – 5x 3 + 0x 2 + 4x – 6 ) quotient 3x23x2 + 4x

EQ: How is Long Division utilized to divide a polynomial functions? Assessment: Students will write a summary on the steps to divide polynomials using long division You Try It! Divide using polynomial long division. (2x 4 + x 3 + x – 1) ÷ (x 2 + 2x – 1) 2x 4 – 4x 3 – 2x 2 3x 3 – 2x 2 + x – 3x 3 – 6x 2 + 3x 8x 2 – 2x – 1 8x 2 –16x – 8 – 18x + 7 2x 2 – 3x + 8 x 2 + 2x – 1 2x 4 + x 3 + 0x 2 + x – 1 )

EQ: How is Long Division utilized to divide a polynomial functions? Assessment: Students will write a summary on the steps to divide polynomials using long division Divide f (x) = x 3 + 5x 2 – 7x + 2 by x – 2.

EQ: How is Long Division utilized to divide a polynomial functions? Assessment: Students will write a summary on the steps to divide polynomials using long division You Try It! (x 3 – x 2 + 4x – 10)  (x + 2)

HOMEWORK Textbook – Pg. 366 # 3-7 (all) Write your Summary to the Essential Question