Please help Factor completely. Show your work (as much work as possible, including a list of factors if
2 answers:
Answer:
1. x =0; x = -7
2. x = -3; x = 10
3. x = -5; x = -4
Step-by-step explanation:
(1). 6x² + 42x = 0
6x (x + 7) = 0
6x = 0. OR. x + 7 = 0
x = 0/6. x = 0 - 7
x = 0. x = -7
x = 0
x = -7
(2). x² - 7x - 30 = 0
The factors here are (3, -10)
x² - 10x + 3x - 30 = 0
x ( x - 10) + 3 ( x - 10) = 0
(x + 3) ( x - 10) = 0
x + 3 = 0 OR. x - 10 = 0
x = 0-3. x = 0 + 10
x = -3. x = 10
x = -3
x = 10
(3). x² + 9x + 20 = 0
The factors are ( 4, 5)
x² + 4x + 5x + 20 = 0
x ( x + 4) + 5 ( x + 4) = 0
(x + 5) (x + 4) = 0
x + 5 = 0 . OR. x + 4 = 0
x = 0-5. x = 0 - 4
x = -5. x = -4
x = -5
x = -4
Answer:
Step-by-step explanation:
1) 6x² + 42x
6x is common to both terms. Therefore, it becomes
6x(x + 7)
2) x² - 7x - 30
We would find two numbers such that their sum or difference is -7x and their product is - 30x².
The two numbers are 3x and -10x. It becomes
x² + 3x - 10x - 30
x(x + 3) - 10(x + 3)
(x + 3)(x - 10)
3) x² + 9x + 20
We would find two numbers such that their sum or difference is 9x and their product is 20x².
The two numbers are 4x and 5x. It becomes
x² + 4x + 5x + 20
x(x + 4) + 5(x + 4)
(x + 4)(x + 5)
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would you like an explantion or are you good