ALGEBRA I - SECTION 8-5 (Factoring x^2 + bx + c)

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Presentation transcript:

ALGEBRA I - SECTION 8-5 (Factoring x^2 + bx + c) 2/22/2019 ALGEBRA I @ SECTION 8-5 : FACTORING x2 + bx + c

1) The area of a solar panel is x2 + 7x + 12 1) The area of a solar panel is x2 + 7x + 12. The height of the solar panel is x + 3. What is its width? ANSWER : x + 4

Factor completely. 1) 5x2 + 30x + 40 4) 3x2 – 24x + 36 ANSWER : 5(x + 4)(x + 2) ANSWER : 3(x – 6)(x – 2) 2) x2 + 12x + 27 5) x2 – 16x + 48 ANSWER : (x + 9)(x + 3) ANSWER : (x – 12)(x – 4) 3) x2 + 20x + 19 6) x2y – 7xy + 12y ANSWER : (x + 19)(x + 1) ANSWER : y(x – 4)(x – 3)

7) x2 + 2x - 35 8) 2x2 + 16x - 48 10) x2 – 5x - 24 9) x2 – 4x - 12 ANSWER : (x + 7)(x – 5) 8) 2x2 + 16x - 48 10) x2 – 5x - 24 ANSWER : 2(x + 10)(x – 2) ANSWER : (x – 8)(x + 3) 9) x2 – 4x - 12 11) 10x2 + 120x - 130 ANSWER : (x – 6)(x + 2) ANSWER : 10(x – 1)(x + 13)

Complete. 12) x2 + 8x – 20 = (x + 10)(x - ____) ANSWER : 2 13) x2 – 7x – 30 = (x – 10)(x + ____) ANSWER : 3

14) And, now for the good one of the day…… x2 – xy – 6y2 ANSWER : (x + 2y)(x – 3y)