Use the grouping method to factor this polynomial completely. 3x3 + 12x2 + 2x + 8

Mathematics

1 answer:

dezoksy [38]3 years ago

3 0

Answer:

(3x^2 + 2)(x + 4).

Step-by-step explanation:

3x3 + 12x2 + 2x + 8

3x^2(x + 4) + 2(x + 4) The x + 4 is common to the 2 groups so we have:

(3x^2 + 2)(x + 4).

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Which of the following expression expressions is equivalent to cos3x/sinxcosx?

77julia77 [94]

Correct Option:
Option B

Solution:
The given expression is:

$\frac{cos(3x)}{sin(x)cos(x)}$

cos(3x) can be written as cos(2x +x). Expanding it, we get:

$cos(3x) = cos(2x+x) \\ \\ 
cos(3x) =cos(2x)sin(x)-sin(2x)cos(x)$

Using this value of cos(3x) in given equation, we get:

$\frac{cos(3x)}{sin(x)cos(x)} \\ \\ 
= \frac{cos(2x)sin(x)-sin(2x)cos(x)}{sin(x)cos(x)} \\ \\ 
= \frac{cos(2x)sin(x)}{sin(x)cos(x)}- \frac{sin(2x)cos(x)}{sin(x)cos(x)} \\ \\ 
= \frac{cos(2x)}{cos(x)} - \frac{sin(2x)}{sin(x)} \\ \\ 
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8 0

3 years ago

Read 2 more answers

A boat traveled 280 miles downstream and back. The trip downstream took 7 hours. The trip back took 14 hours. Find the speed of

Brrunno [24]

Let, the speed of boat = x
Speed of current = y
So, x + y = 280/7
x + y = 40 ---- first equation

x - y = 280/14
x - y = 20
x = 20 + y

Substitute this value of x in first equation,
20 + y + y = 40
2y = 40 - 20
y = 20/2
y = 10

Substitute this in first equation,
x + 10 = 40
x = 30

In short, Speed of Boat = 30 mph, & speed of current = 10 mph

Hope this helps!

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Alborosie

Answer:

It would be 300 times as large because you would divide them.

Step-by-step explanation: