Which is the completely factored form of 4x3 + 10x2 – 6x? 2(x + 3)(2x – 1)
2x(x + 3)(2x – 1)
2x(x – 3)(2x – 1)
2(x – 3)(2x + 1)

2x(x + 3)(2x – 1)

Step-by-step explanation:

B. 2x(x + 3)(2x – 1)

Step-by-step explanation:

A. 2(x + 3)(2x – 1)

= (2x + 6)(2x - 1)

= 4x² - 2x + 12x - 6

= 4x² + 10x - 6

B. 2x(x + 3)(2x – 1)

= (2x² + 6x)(2x - 1)

= 4x³ - 2x² + 12x² - 6x

= 4x³ + 10x² - 6x

C. 2x(x – 3)(2x – 1)

= (2x² - 6x)(2x - 1)

= 4x³ - 2x² - 12x² + 6x

= 4x³ - 14x² + 6x

D. 2(x – 3)(2x + 1)

= (2x - 6)(2x + 1)

= 4x² + 2x - 12x - 6

= 4x² - 10x - 6

The completely factored form of 4x3 + 10x2 – 6x is 2x(x + 3)(2x – 1)

The correct answer is B: 2x(x+3)(2x-1)

Step-by-step explanation:

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step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15