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erastovalidia [21]
3 years ago
7

53664 times 84 show work

Mathematics
1 answer:
zalisa [80]3 years ago
8 0
I don’t know hekndssndidnbeyehebnrdidbdbkdndnfhndmdkdnnddo
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Factor completely 2x^3 + 6x^2 + 10x + 30
andrezito [222]

Answer:

The factored expression is 2(x² + 5)(x + 3).

Step-by-step explanation:

Hey there!

We can use a factoring technique referred to as "grouping" to solve this problem.

Grouping is used for polynomials with four terms as a quick and easy factoring method to remove the GCF and get down to the initial terms that create the expression/function.

Grouping works in the following matter:

  1. Given equation: ax³ + bx² + cx + d
  2. Group a & b, c & d: (ax³ + bx²) + (cx + d)
  3. Pull GCFs and factors

Let's apply these steps to the given equation.

  1. Given equation: 2x³ + 6x² + 10x + 30
  2. Group a & b, c & d: (2x³ + 6x²) + (10x + 30)
  3. Pull GCFs and factors: 2x²(x + 3) + 10(x + 3)

As you'll see, we have a common term with both sides of the expression. This term, (x + 3), is a valuable asset to the factoring process. This is one of the factors for our expression.

Now, we use our GCFs to create another factor.

  1. List GCFs: 2x², 10
  2. Create a term: (2x² + 10)

Finally, we'll need to simplify this one by taking another GCF, 2.

  1. Pull GCF: 2(x² + 5)

Now that we have this term, we need to understand that this <em>could</em> also be factored further using imaginary numbers, but it is also acceptable to leave it in this form.

Therefore, we have our final factors: 2(x² + 5) and (x + 3).

However, when we factor, we place all of our terms together. This leaves us with the final answer: 2(x² + 5)(x + 3).

7 0
2 years ago
-6x + 3x = -21 linear equations
snow_tiger [21]

well combine like terms

-3x = -21

divide both sides by -3

x = 7

8 0
3 years ago
Read 2 more answers
Complete the following statement.<br><br> 5 - ( ) = 14
Paha777 [63]

Answer:

19

Step-by-step explanation:

you would choose a number that you can easily subtract 5 from. You should always take care of whats in the () first.

7 0
3 years ago
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(pls fast) A scale drawing of a kitchen is shown below. The scale is 1 : 20.
viktelen [127]

Answer:

6 2/3 ft by 8 1/3 ft

Step-by-step explanation:

So the room will be 80 inches by 100 inches

( 1 inch ----> 20 inches

so 4 inches ----> 80 inches )

8 0
3 years ago
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Several students at a university were surveyed about how they
Anarel [89]
Okay so the answer would be
4 0
3 years ago
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