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Mashutka [201]
3 years ago
13

5.

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
6 0
10 hours, 10 minutes
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The Students' Conjectures Emily and Zach have two different polynomials to multiply: Polynomial product A: (4x2 – 4x)(x2 – 4) Po
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Complete Question:

Emily and Zach have two different polynomials to multiply: Polynomial product A: (4x2 – 4x)(x2 – 4) Polynomial product B: (x2 + x – 2)(4x2 – 8x) They are trying to determine if the products of the two polynomials are the same. But they disagree about how to solve this problem.

Answer:

A = B

Step-by-step explanation:

<em>See comment for complete question</em>

Given

A: (4x^2 - 4x)(x^2 - 4)

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

Required

Determine how they can show if the products are the same or not

To do this, we simply factorize each polynomial

For, Polynomial A: We have:

A: (4x^2 - 4x)(x^2 - 4)

Factor out 4x

A: 4x(x - 1)(x^2 - 4)

Apply difference of two squares on x^2 - 4

A: 4x(x - 1)(x - 2)(x+2)

For, Polynomial B: We have:

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

Expand x^2 + x - 2

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

Factorize:

B:(x(x + 2) -1(x + 2))(4x^2- 8x)

Factor out x + 2

B:(x -1) (x + 2)(4x^2- 8x)

Factor out 4x

B:(x -1) (x + 2)4x(x- 2)

Rearrange

B: 4x(x - 1)(x - 2)(x+2)

The simplified expressions are:

A: 4x(x - 1)(x - 2)(x+2) and  

B: 4x(x - 1)(x - 2)(x+2)

Hence, both polynomials are equal

A = B

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3 years ago
A _____ number can be written as a ratio of two integers in the form A/B where B ≠ 0.
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Looks like the very definition for a rational number
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A = L times W, Solve for W
Flura [38]

A = LW

Divide both sides by L (To isolate W)

W = \frac{A}{L}

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The Total Surface Area Would Be A number
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Determine this one algebraically
solniwko [45]

Answer:

x = 5

y = 5

Step-by-step explanation:

In this question you need to solve one equation in order to plug the value into the second one and solve it as well. Lets start with the top one...

2x - x = 5

1x = 5

x = 5

Now we plug that value of x into the second equation

4x - 2y = 10

4(5) - 2y = 10

20 - 2y = 10

-2y = -10

y = 5

Finally, we can see that both x and y have a value of 5.

3 0
3 years ago
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