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djverab [1.8K]
4 years ago
11

Module 6 Polynomial the question is in the picture. Alana completed a problem where she had to find the sum of the polynomials (

3x^2+8x-4) and (-8x^3-3x+4). Her answer is 0. Complete the explanation and correct her mistake. When graphed, how many times does the sum change directions??
A rectangular plot of land has a length of (2x^2+5x-20) and a width of (3x+4). What is the polynomial representing the area of the plot of land? Explain how you got your answer. Below.

Mathematics
1 answer:
dybincka [34]4 years ago
8 0
Actually i was going to ask you the same question

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alexira [117]

Answer:

x = 2, 1 + 3i, 1 − 3i

Step-by-step explanation:

Find the Roots (Zeros)

x^4 − 6x^3 + 22x^2 − 48x + 40

Set x^4 − 6x^3 + 22x^2 − 48x + 40 equal to 0. x^4 − 6x^3 + 22x^2 − 48x + 40 = 0

Solve for x.

Factor the left side of the equation.

Factor x^4 − 6x^3 + 22x^2 − 48x + 40 using the rational roots test.

(x − 2) (x^3 − 4x^2 + 14x − 20) = 0

 Factor x^3 − 4x^2 + 14x − 20 using the rational roots test.

(x − 2) (x − 2) (x2 − 2x + 10) = 0

 Combine like factors.

(x − 2)2 (x^2 − 2x + 10) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

(x − 2)^2 = 0

x^2 − 2x + 10 = 0

 Set (x − 2)^2 equal to 0 and solve for x.

Set (x − 2)^2 equal to 0.

 (x − 2)^2 = 0

Solve (x − 2)^2 = 0 for x.

x = 2

 Set x^2 − 2x + 10 equal to 0 and solve for x.

Set x^2 − 2x + 10 equal to 0. x^2 − 2x + 10 = 0

Solve x^2 − 2x + 10 = 0 for x.

Use the quadratic formula to find the solutions.

−b ± (√b^2 − 4 (ac) )/2a

Substitute the values a = 1, b = −2, and c = 10 into the quadratic formula and solve for x.

2 ± (√(−2)^2 − 4 ⋅ (1 ⋅ 10))/2 ⋅ 1

Simplify.

Simplify the numerator.

  x =    2 ± 6i/ 2.1

Multiply 2 by 1

 x =  2 ± 6i/2⋅1

 Simplify

  2 ± 6i/2  

   x = 1 ± 3i

The final answer is the combination of both solutions.

x = 1 + 3i, 1 − 3i

The final solution is all the values that make (x − 2)2 (x2 − 2x + 10) = 0 true.

x = 2, 1 + 3i, 1 − 3i

3 0
3 years ago
Help please i really need it
k0ka [10]
Yes, it does represent a function
4 0
3 years ago
Eight hotdogs at the basketball park cost $28 how much does one hotdog cost
Igoryamba
28 divided by 8 is equal to 3.5, so one hotdog will cost $3.50
6 0
3 years ago
Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i will give u brainliest
yaroslaw [1]

Answer: The answer is x = +/- \sqrt{y+1}.

Step-by-step explanation: You can solve this by simply rearranging the equation to make x by itself.

-x^{2} = -y - 1

Then cancel out the -1 by dividing it through to obtain.

x^{2} =y+1

The final step is to square root both sides to get rid of the exponent.

x = \sqrt{y+1}

This should be the answer since square roots have a +/-.

4 0
2 years ago
Read 2 more answers
Which number is an irrational number?
Kobotan [32]

Answer

the answer is D square root of 16 expression 3

6 0
2 years ago
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