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Ivenika [448]
3 years ago
15

6. Find the product for both sets of polynomials below by multiplying vertically.

Mathematics
1 answer:
stiv31 [10]3 years ago
6 0

Answer:

A) 4x^5-4x^4-16x^2+16x

B) 4x^4-4x^3-16x^2+16x

Also, maybe that vertically means:

A) 4x^2 \cdot x^3    and (-4x) \cdot (-4)

Resulting in 4x^5+16x

B) x^2 \cdot 4x^2    and  x \cdot (-8x)  and -2 \cdot 0

Resulting in 4x^4-8x^2

Step-by-step explanation:

It seems that you want to multiply the polynomials in this way: (\text{Polynomial - 1})\cdot(\text{Polynomial - 2})

A)

4x^2-4x

x \cdot x^2 -4

(4x^2-4x)(x \cdot x^2 -4)=(4x^2-4x)(x^3 -4)

(4x^2-4x)(x^3 -4)\\

4x^5-16x^2-4x^4+16x

4x^5-4x^4-16x^2+16x

B)

x^2+x-2

4x^2-8x

(x^2+x-2)(4x^2-8x)

4x^4-8x^3+4x^3-8x^2-8x^2+16x

4x^4-4x^3-16x^2+16x

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Answer: 2x + 1

Step-by-step explanation:

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DiKsa [7]

Answer:

x = 1178 games

Step-by-step explanation:

Let the number of games = x

Let the total cost = Tc

Let the total revenue = Tr

Given the following data;

Investment = $10,000

Cost of each game = $1.50

Selling cost = $9.99

Total cost, Tc = (Cost of each game * Number of games) + Investment

Tc = 1.50x + 10000

Total revenue, Tr = Selling cost * Number of games

Tr = 9.99x

Breakeven point is when total cost is equal to total revenue;

Tc = Tr

1.50x + 10000 = 9.99x

9.99x - 1.50x = 10000

8.49x = 10000

x = \frac {10000}{8.49}

x = 1177.86 ≈ 1178 games.

<em>Therefore, the number of games that must be sold before the business breaks even is 1178 games. </em>

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What is 4 divided by 520
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Find the remainder when x^5 - 3x^3 + x - 5 is divided by x - 2​
Viktor [21]

<u>Given</u><u> info</u><u>:</u><u>-</u> Find the remainder when x^5 - 3x^3 + x - 5 is divided by x - 2

<u>Solution:</u><u>-</u>

Given,

p(x) = x^5 - 3x^3 + x - 5 , g(x) = x - 2

Let g(x) = x-2 will be the factor of p(x) if p(2) = 0.

Now, p(x) = x^5 - 3x^3 + x - 5

p(2) = (2)^5 - 3(2)^3 + 2 - 5

= (2*2*2*2*2) - 3(2*2*2) + 3 - 5

= 32 - 3(8) + 3 - 5

= 32 - 24 + 3 - 5

= 31 - 24 - 2

= 31 - 26

= 5 Remainder.

Hence, when x^5 - 3x^3 + x - 5 is divided by x - 2 , we get the remainder as 5.

4 0
3 years ago
What is the remainder when a^3-4 is divided by a+2?
Harman [31]

Answer:

-12

Step-by-step explanation:

Use synthetic division to find the remainder:

a + 2 yields the synthetic division divisor -2.  The four coefficients of a^3 - 4 are {1, 0, 0, -4}.  Setting up synthetic division results in:

-2   /   1    0    0    -4

              -2    4     -8

     -------------------------

         1     -2    4    -12

The remainder is -12.  This is also the value of a^3 - 4 when a = -2.

     

6 0
3 years ago
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