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STatiana [176]
2 years ago
11

Which polynomial is prime? x3 + 3x2 – 2x – 6 x3 – 2x2 + 3x – 6 4x4 + 4x3 – 2x – 2 2x4 + x3 – x + 2

Mathematics
2 answers:
zhuklara [117]2 years ago
5 0

A prime polynomial is a polynomial that can't be factored.

In order to check which polynomial is prime, we need to check which polynomials could be factored.

x^3 + 3x^2 – 2x – 6 can be factored as (x+3)(x^2-2)

x^3 – 2x^2 + 3x – 6 can be factored as (x-2)(x^2+3)

4x^4 + 4x^3 – 2x – 2 can be factored as 2(x+1)(2x^3-1)

2x^4 + x^3 – x + 2 can't be factored.

Therefore, 2x^4 + x^3 – x + 2 is a prime polynomial.


alexandr1967 [171]2 years ago
4 0
D. 2x4+x3–x+2 <span>is prime</span>
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Answer:

C

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In the equation y = Sin (ax), ax is the argument, and period is 360/a.

For the function shown, y = Sin x, the period is 360/1 = 360. This means that the period is the number of months it takes to complete one cycle of the graph (take one point in the graph and run along the curve until the same point is reached).

<em>If we take January as the first point (y = 40) and run along until i come to same point, we are back to next years' January. Hence, the period is 12 months. </em><em>Answer choice C is right.</em>

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2 years ago
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2 years ago
A 2-column table with 8 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2, 3, 4. The
mrs_skeptik [129]

Answer:

Option B.

Step-by-step explanation:

The given table of values is

x         f(x)

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2        -8

3        -10

4        -20

We need to find the interval for which the function f(x) is positive.

From the given table it is clear that the value of function f(x) is negative before -2 and after 1.

The function positive between x=-2 and x=1. So, we can conclude that the function f(x) is positive for the interval (-2,1).

Therefore, he correct option is B.

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2 years ago
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Adante begins to evaluate the expression 3 and one-third times 5 and one-fourth using the steps below. 3 and one-third times 5 a
goldenfox [79]

Answer:

(3)(5) + (1/3)(5) + (3)(1/4) + (1/3)(1/4)

Step-by-step explanation:

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= (3 1/3)(5 + 1/4)

= (3 1/3)(5) + (3 1/3)(1/4)

= (3 + 1/3)(5) + (3 + 1/3)(1/4)

= (3)(5) + (1/3)(5) + (3)(1/4) + (1/3)(1/4)

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1 year ago
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This means finding the decimal value of 3/4.  3 divided by four is .75, which means that's the decimal value.  Now add 7.

The full decimal number is 7.75 hours.

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What you can do to find how much longer the trip will take is divide 7.75 by 3 which will give you one-third of 7.75.  

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Therefore, the answer is that it will take 2.58 hours longer to get to Portland, Orgeon.

Remember to do a bit of studying, understand how the question can be solved, and doing procedures with fractions.

I hope this helped!




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