Algreba 1 Help please?!?

1.
x^2 - x - 6 = 0
x^2 - 3x + 2x - 6 = 0
x(x - 3) + 2(x - 3) = 0
(x - 3)(x + 2) = 0
x = 3, x = -2

2.
a^2 + 2a = 15
a^2 + 2a - 15 = 0
a^2 + 5a - 3a - 15 = 0
a(a + 5) - 3(a + 5) = 0
(a + 5)(a - 3) = 0
a = -5, a = 3

3.
x^2 + 6x + 8 = 0
x^2 + 4x + 2x + 8 = 0
x(x + 4) + 2(x + 4) = 0
(x + 4)(x + 2) = 0
x = -4, x = -2

4.
w^2 - 2w = 15
w^2 - 2w - 15 = 0
w^2 - 5w + 3w - 15 = 0
w(w - 5) + 3(w - 5) = 0
(w - 5)(w + 3) = 0
w = 5, w = -3

5.
2x^2 - x - 3 = 0
2x^2 + 2x - 3x - 3 = 0
2x(x + 1) - 3(x + 1) = 0
(x + 1)(2x - 3) = 0
x = -1, x = 3/2

6.
6x^2 - x - 15 = 0
6x^2 + 9x - 10x - 15 = 0
3x(2x + 3) - 5(2x + 3) = 0
(2x + 3)(3x - 5) = 0
x = -3/2, x = 5/3

1)
x^2 - x - 6 = 0
x^2 + 2x - 3x - 6 = 0
(x^2 + 2x) - (3x + 6) = 0
x(x + 2) - 3(x + 2) = 0
(x + 2)(x - 3) = 0

x + 2 = 0
x = -2

x - 3 = 0
x = 3

∴ x = -2 , 3

= = = = = = = =

2)
a^2 + 2a = 15
a^2 + 2a - 15 = 0
a^2 + 5a - 3a - 15 = 0
(a^2 + 5a) - (3a + 15) = 0
a(a + 5) - 3(a + 5) = 0
(a + 5)(a - 3) = 0

a + 5 = 0
a = -5

a - 3 = 0
a = 3

∴ a = -5 , 3

= = = = = = = =

3)
x^2 + 6x + 8 = 0
x^2 + 4x + 2x + 8 = 0
(x^2 + 4x) + (2x + 8) = 0
x(x + 4) + 2(x + 4) = 0
(x + 4)(x + 2) = 0

x + 4 = 0
x = -4

x + 2 = 0
x = -2

∴ x = -4 , -2

= = = = = = = =

4)
w^2 - 2w = 15
w^2 - 2w - 15 = 0
w^2 + 3w - 5w - 15 = 0
(w^2 + 3w) - (5w + 15) = 0
w(w + 3) - 5(w + 3) = 0
(w + 3)(w - 5) = 0

w + 3 = 0
w = -3

w - 5 = 0
w = 5

∴ w = -3 , 5

= = = = = = = =

5)
2x^2 - x - 3 = 0
2x^2 + 2x - 3x - 3 = 0
(2x^2 + 2x) - (3x + 3) = 0
2x(x + 1) - 3(x + 1) = 0
(x + 1)(2x - 3) = 0

x + 1 = 0
x = -1

2x - 3 = 0
2x = 3
x = 3/2 (1.5)

∴ x = -1 , 3/2 (1.5)

= = = = = = = =

6)
6x^2 - x - 15 = 0
6x^2 + 9x - 10x - 15 = 0
(6x^2 + 9x) - (10x + 15) = 0
3x(2x + 3) - 5(2x + 3) = 0
(2x + 3)(3x - 5) = 0

2x + 3 = 0
2x = -3
x = -3/2 (-1.5)

3x - 5 = 0
3x = 5
x = 5/3

∴ x = -3/2 (-1.5) , 5/3

Question 1
(x - 3)(x + 2) = 0
x = 3 , x = - 2

Question 2
a ² + 2a - 15 = 0
(a - 5)(a + 3) = 0
a = 5 , a = - 3

Question 3
(x + 4)(x + 2) = 0
x = - 4 , x = - 2

Question 4
w ² - 2w - 15 = 0
(w - 5)(w + 3) = 0
w = 5 , w = - 3

Question 5
2 x ² - x - 3 = 0
(2x - 3)(x + 1) = 0
x = 3/2 , x = - 1

Question 6
6x² - x - 15 = 0
(3x - 5)(2x + 3) = 0
x = 5/3 , x = - 3/2

1. x² - x - 6 = 0
(x+2)(x-3)=0
x+2=0 x-3=0
x=-2 x=3 x={-2,3} answer//

2. a² + 2a = 15
a² + 2a -15=0
(a+5)(a-3)=0
a+5=0 a-3=0
a=-5 a=3 a={-5,3} answer//

3. x² + 6x + 8 = 0
(x+4)(x+2)=0
x+4=0 x+2=0
x=-4 x=-2 x={-4,-2} answer//

4. w² - 2w = 15
w² - 2w-15=0
(x+3)(x-5)=0
x+3=0 x-5=0
x=-3 x=5 x={-3,5} answer//

5. 2x² - x - 3 = 0
(2x-3)(x+1)
2x-3=0 x+1=0
2x=3 x=-1
x=3/2 x={3/2,-1} answer//

6. 6x² - x - 15= 0
(2x+3)(3x-5)=0
2x+3=0 3x-5=0
2x=-3 3x=5
x=-3/2 x=5/3 x={-3/2,5/3} answer//

1) (x-3)(x+2)
2) (a+5)(a-3)
3) (x+4)(x+2)
4) (w-5)(w+3)
5) (2x-3)(x+1)
5) (3x-5)(2x+3)

Good luck.

1. x² - x - 6 = 0

(x - 3)(x + 2)
x = 3 or x = -2


2. a² + 2a = 15

(x + 5)(x - 3)
x = -5 or x = 3


3. x² + 6x + 8 = 0

(x + 4)(x + 2)
x = -4 or x = -2


4. w² - 2w = 15

w^2 - 2w - 15 = 0
(w - 5)(w + 3)
w = 5 or w = -3


5. 2x² - x - 3 = 0

(2w - 3)(w + 1)
2w - 3 = 0 or w + 1 = 0
w = 3/2 ...or...w = -1


6. 6x² - x - 15= 0

(3x - 5)(2 x + 3 )

3x - 5 = 0 or 2x + 3 = 0
x = 5/3 ...or.....x = -3/2

Hope this helps
:o)
dr

Damn I hate Algreba but I know how to spell it "Algebra"

1. x² - x - 6 = 0
(x - 3) (x + 2) = 0
x - 3 = 0 or x + 2 = 0
x = 3 or x = -2

2. a² + 2a = 15
a² + 2a - 15 = 0
(a + 5)(a - 3) = 0
a + 5 = 0 or a - 3 = 0
a = -5 or a = 3

3. x² + 6x + 8 = 0
(x + 4)(x + 2) = 0
x + 4 = 0 or x + 2 = 0
x = -4 or x = -2

4. w² - 2w = 15
w² - 2w - 15 = 0
(w - 5)(w + 3) = 0
w - 5 = 0 or w + 3 = 0
w = 5 or w = -3

5. 2x² - x - 3 = 0
(2x - 3)(x + 1) = 0
2x - 3 = 0 or x + 1 = 0
2x = 3 or x = -1
x = 3/2 or x = -1

6. 6x² - x - 15= 0
(2x + 3) (3x - 5) = 0
2x + 3 = 0 or 3x - 5 = 0
2x = -3 or 3x = 5
x = -3/2 or x = 5/3

Hope this helps!