Factoring Introduction

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Presentation transcript:

Factoring Introduction

What are the dimensions for a rectangle with an area of x2 – 4x ft2? What are the possible dimensions for a rectangle with an area of 24 ft2 ? 1 by 24, 2 by 12, 3 by 8, 4 by 6 What are the dimensions for a rectangle with an area of x2 – 4x ft2? x by x-4 When you factor a polynomial, what are you doing? Undoing multiplication A = 24 ft2 A = x2 – 4x ft2

Quadratic Expressions Quadratic expressions are polynomials that have a degree of 2 They take the standard form: 𝑎 𝑥 2 +𝑏𝑥+𝑐 Ex: 4x2 + 10x + 6. a = _4_ b = _____10_____ c = ____6_____

Find an expression equivalent to x2 + 11x + 18. Find the factors of C (18 in this case) Find the factors of C (18) that sum to B (11) 2 and 9 Set up the two binomials with the factors (x+2)(x+9) Check your answer using box method/dist. property Factors of 18 Sum of factors 1 and 18 19 2 and 9 11 3 and 6 9

x2 + 6x + 8 (x+2)(x+4) a2 + 7a + 10 (a+2)(a+5) The area of a rectangle is x2 + 15x + 50. What is the length and width? (x+5)(x+10) x2 - 10x – 39 (x-13)(x+3) x2 - 20x + 75 (x-5)(x-15) x2 + 4x – 45 (x-5)(x+9) x2 + 4x + 4 (x+2)(x+2)