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

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

3. 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)

4. 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) 10x x - 130
ANSWER : (x – 6)(x + 2)
ANSWER : 10(x – 1)(x + 13)

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

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