Factoring Quadratic Trinomials 96 Objective Students will be

Factoring Quadratic Trinomials 9/6 Objective: Students will be able to factor quadratic trinomials. Standards: NC 2. M 2. A-SSE. 3 Rewrite quadratic expressions Essential Question: If you were given the length and area of a rectangular garden, would you be able to find the width? LESSON Quadratic Trinomial => three terms with the degree of 2 Factoring Quadratic Trinomials: Ax 2 + Bx + C = 0 where A, B, and C are all real #s Ax 2 C + C = (+)(+) or (-)(-) - C = (-)(+) 1) Multiply Ax 2 and C 2) Find the factors of ACx 2 to get B • If the product is positive, find factors to add. • If the product is negative, find factors to subtract.

Objective: Students will be able to factor quadratic trinomials. Standards: NC 2. M 2. A-SSE. 3 Rewrite quadratic expressions Essential Question: If you were given the length and area of a rectangular garden, would you be able to find the width? Worktime 1. m 2 + m – 20 2. x 2 – 10 xy + 21 y 2 3. c 2 + 9 c + 18

Objective: Students will be able to factor quadratic trinomials. Standards: NC 2. M 2. A-SSE. 3 Rewrite quadratic expressions Essential Question: If you were given the length and area of a rectangular garden, would you be able to find the width? Factor each polynomial. 1. r 2 – 2 r – 35 2. e 2 + ef – 20 f 2 3. b 2 + 5 b + 6 4. p 2 – 11 p + 18 Worktime:

Objective: Students will be able to factor quadratic trinomials. Standards: NC 2. M 2. A-SSE. 3 Rewrite quadratic expressions Essential Question: If you were given the length and area of a rectangular garden, would you be able to find the width? Worktime 1. 9 p 2 q – 15 pq + 4 q 2. y 2 + 36 3. 4 d 2 – 25

Objective: Students will be able to factor quadratic trinomials. Standards: NC 2. M 2. A-SSE. 3 Rewrite quadratic expressions Essential Question: If you were given the length and area of a rectangular garden, would you be able to find the width? Critical Thinking If the volume of a rectangular prism is 10 x 2 – 105 x + 135, the height is 5 and the width is x – 9, what is the length of the rectangular prism? Hints: *V = lwh, where V is the volume, l is the length, w is the width, and h is the height

Objective: Students will be able to factor quadratic trinomials. Standards: NC 2. M 2. A-SSE. 3 Rewrite quadratic expressions Essential Question: If you were given the length and area of a rectangular garden, would you be able to find the width? Homework Factor each polynomial completely. 1. 4 xz 2 – 2 xz – 72 x 2. 6 b 2 a – 36 ba - 162 a 3. 2 b 2 + 14 b + 12 4. 35 m 4 - 375 m 3 + 250 m 2 5. 64 p 2 – 81