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olya-2409 [2.1K]
3 years ago
11

Factor 3a^3 + 18a² + 8a + 48 completely.

Mathematics
1 answer:
fomenos3 years ago
3 0

Answer:

(3a2 + 8) • (a - 6)

Step-by-step explanation:

STEP 1:

Equation at the end of step 1

 (((3 • (a3)) -  (2•32a2)) +  8a) -  48

STEP  2:

Equation at the end of step 2:

 ((3a3 -  (2•32a2)) +  8a) -  48

STEP 3:

Checking for a perfect cube

3.1    3a3-18a2+8a-48  is not a perfect cube

Trying to factor by pulling out :

3.2      Factoring:  3a3-18a2+8a-48

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  8a-48

Group 2:  -18a2+3a3

Pull out from each group separately :

Group 1:   (a-6) • (8)

Group 2:   (a-6) • (3a2)

              -------------------

Add up the two groups :

              (a-6)  •  (3a2+8)

Which is the desired factorization

Polynomial Roots Calculator :

3.3    Find roots (zeroes) of :       F(a) = 3a2+8

Polynomial Roots Calculator is a set of methods aimed at finding values of  a  for which   F(a)=0  

It would only find Rational Roots that is numbers  a  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  3  and the Trailing Constant is  8.

The factor(s) are:

of the Leading Coefficient :  1,3

of the Trailing Constant :  1 ,2 ,4 ,8

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f(x)=2x. If g(x) is a vertical stretch, compression, and or reflection of f(x) followed by a, what is the equation of g(x)?
Montano1993 [528]

The function g(x) is g(x)= (3x)^2

<h3>How to solve for g(x)?</h3>

The complete question is in the image

From the graph in the image, we have:

f(x) = x^2

The function f(x) is stretched by a factor of 3 to form g(x).

This means that:

g(x) = f(3x)

So, we have:

g(x)= (3x)^2

Hence, the function g(x) is g(x)= (3x)^2

Read more about function transformation at:

brainly.com/question/10222182

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7 0
2 years ago
What is the following product? square root 30 times square root 10
egoroff_w [7]

Answer:

D. 10 square root 3 is your answer

Step-by-step explanation:

Here is what you do.

<em>square root 30 = 3 x 2 x 5 </em>

<em>square root 10 = 2 x 5</em>

Add them together.

<em>3 x 2 x 2 x 5 x 5 </em>

<em>3 x 4 x 25.</em>

4 and 25 can come out of the square root.

<em>2 x 5 = 10</em>

10 square root 3 is your answer.

4 0
3 years ago
How many Japanese yen are equal to $100?
disa [49]
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3 0
3 years ago
Read 2 more answers
A class is selling magazines as a fund raiser. Of the 500 magazines sold, Amy sold 1/9 of them. Garret sold 0.145 of the magazin
andrey2020 [161]
500 total magazines...

Amy sold 1/9......1/9(500) = 500/9 = 55.5
Garret sold 0.145.....0.145(500) = 72.5
Robbie sold 12/100.....0.12(500) = 60
Carlita sold 0.095.....0.095(500) = 47.5

Garret sold the most

or u could have done it this way...
Amy sold 1/9.....1/9 = 11.1%
Garret sold 0.145 = 14.5%
Robbie sold 12/100.....12/100 = 12%
Carlita sold 0.095....0.095 = 9.5%

u will still get the same answer...Garret

3 0
3 years ago
Read 2 more answers
Find A U B. please help much needed!
kvasek [131]

Answer:

A u B = {3,5,6,7,8,11,12}

Step-by-step explanation:

A = {3,6,7,11}

B = {3,5,7,8,12}

A u B = {3,5,6,7,8,11,12}

6 0
3 years ago
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