Chapter 10 Polynomials and Factoring

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Presentation transcript:

Chapter 10 Polynomials and Factoring

10.1 Adding and Subtracting Polynomials Objective: Add and subtract polynomials Standards: A1.1.3, A1.6.1, A1.9.1

Videoclip Polynomial Degree Leading coefficient Monomial Binomial Trinomial

Practice (9x3 + 12) + ( 16x3 + 25x) (12x2 + 12) – (18x3 – 3x2 + 6)

More Practice (2m – 8m2 – 3) + (m2 + 5m) (4x2 – 7x + 2) + ( -x2 + x – 2)

Whiteboard Practice One person from each row get the materials for the entire row!!

10.2 Multiplying Polynomials Objective: Multiply 2 polynomials Standards: A1.1.3, A1.3.1, A1.6.4, A1.8.7

Watch the Video Clip to find the answer to foil.

Practice (2x – 5)(-4x) (2d + 3)(3d + 1) 3t2(7t – t3 – 3)

Practice (b +8)2 (x + 8)(x - 8) (x-9)2 (2x + 9)(6x + 7)

Whiteboard Practice One person from each row get the materials for the entire row!!

10.5-10.7 Factoring Objective: Factor a quadratic equation of the form x2+bx+c Solve quadratic equations by factoring. Standards: A1.6.7, A1.6.8, A1.8.7

Terms Factor Factors

The process Start with Make a guess based on factors Check your answer x2 + 8x – 9 Make a guess based on factors ( )( ) Check your answer

Practice x2 + 12x + 36 32 + 12x + x2

Practice x2 – 45x + 450 44 – 15s + s2

Practice x2 + 16x + 60 x2 + 12x + 35

Practice x2 + 8x + 16 F2 - 16

Practice b2 + 2b - 3 x2 + 3x – 10

Whiteboard Practice One person from each row get the materials for the entire row!!

Practice x2 - 9 9x2 – 18x + 9

Still more Factoring!!!

Terms Zero property

Practice (x+12)(x+7) = 0 (z+2)(z+3) = 0

Practice x2 + 7x + 10 = 0 -x + x2 = 56

Practice x2 – 9x + 18 = 2x 2x2 – 9x – 35 = 0

Practice 3x2 + 34x + 11 = 0 y2 – 7y + 6 = -6

Whiteboard Practice One person from each row get the materials for the entire row!!

10.8 Factoring Using the Distributive Property Objective use the distributive property to factor polynomials Standards: A1.1.3, A1.6.6, A1.6.7, A1.8.2, A1.8.7

Terms Factor a polynomial completely Common Factor

Practice 6v3 – 18v -3w4 + 21w3

Practice -7m3 + 28m2 – 21m 2d4 + 2d3 – 60d2

Practice 4q4 + 12q 24t5 + 6t3

Whiteboard Practice One person from each row get the materials for the entire row!!