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Westkost [7]
3 years ago
15

Use the grouping method to factor the polynomial below completely. 3x^3 + 9x^2 + 4x + 12

Mathematics
1 answer:
Alex3 years ago
4 0

Answer:

(x+3)(3x^{2}+4)

Step-by-step explanation:

3x^{3}+9x^{2}+4x+12\\3x^{2}(x+3)+4(x+3)\\(x+3)(3x^{2}+4)

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What is the sum of the first 4 terms of a geometric sequence that has a first term of 2 and a ratio (multiplier) of 8?
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2 years ago
What are the solutions to the quadratic equation (5y + 6)2 = 24? y = StartFraction negative 6 + 2 StartRoot 6 EndRoot Over 5 End
Paladinen [302]

Answer:

there are two solutions:

a) y=\frac{-6+2\sqrt{6} }{5}, and

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Step-by-step explanation:

In the equation: (5y+6)^2=24, since a perfect square with the unknown "y" is isolated on the left of the equal sign, we start by applying the square root on both sides of the equality, and then on isolating the unknown:

(5y+6)^2=24\\\sqrt{(5y+6)^2} =+/-\sqrt{24} \\(5y+6)=+/-\sqrt{6*4} \\(5y+6)=+/-2\sqrt{6}\\5y=-6+/-2\sqrt{6}\\y=\frac{-6+/-2\sqrt{6} }{5}

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a) y=\frac{-6+2\sqrt{6} }{5}, and

b) y=\frac{-6-2\sqrt{6} }{5}

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2 years ago
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