Factor each of the following polynomials. Show your solutions
1. (x+2) (x + x-6)
2. (x+1) (x + 5x + 4)
3. (X + 8x + 12) (x + 8x + 15)
i will give you 50 points after you answer this
1. (x+2) (x + x-6)
2. (x+1) (x + 5x + 4)
3. (X + 8x + 12) (x + 8x + 15)
i will give you 50 points after you answer this
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Answers & Comments
Answer:
STEP
1
:
Equation at the end of step 1
(((((((x+2)•(2x-6))•2)•(x+1))•(6x+4))•3)•(9x+12))•(9x+15)
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
2x - 6 = 2 • (x - 3)
Equation at the end of step
3
:
(((((2•(x+2)•(x-3)•2)•(x+1))•(6x+4))•3)•(9x+12))•(9x+15)
STEP
4
:
Equation at the end of step 4
((((4•(x+2)•(x-3)•(x+1))•(6x+4))•3)•(9x+12))•(9x+15)
STEP
5
:
Equation at the end of step 5
(((4•(x+2)•(x-3)•(x+1)•(6x+4))•3)•(9x+12))•(9x+15)
STEP
6
:
STEP
7
:
Pulling out like terms
7.1 Pull out like factors :
6x + 4 = 2 • (3x + 2)
Equation at the end of step
7
:
((8•(x+2)•(x-3)•(x+1)•(3x+2)•3)•(9x+12))•(9x+15)
STEP
8
:
Equation at the end of step 8
(24•(x+2)•(x-3)•(x+1)•(3x+2)•(9x+12))•(9x+15)
STEP
9
:
STEP
10
:
Pulling out like terms
10.1 Pull out like factors :
9x + 12 = 3 • (3x + 4)
Equation at the end of step
10
:
72•(x+2)•(x-3)•(x+1)•(3x+2)•(3x+4)•(9x+15)
STEP
11
:
STEP
12
:
Pulling out like terms
12.1 Pull out like factors :
9x + 15 = 3 • (3x + 5)
Final result :
216•(x+2)•(x-3)•(x+1)•(3x+2)•(3x+4)•(3x+5)