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Lesechka [4]
3 years ago
8

Which represents the polynomial below written in standard form? StartFraction x squared Over 2 EndFraction â€"" 3x 4x3 6 6 Start

Fraction x squared Over 2 EndFraction â€"" 3x 4x3 4x3 StartFraction x squared Over 2 EndFraction â€"" 3x 6 â€""3x 4x3 6 StartFraction x squared Over 2 EndFraction StartFraction x squared Over 2 EndFraction 4x3 â€"" 3x 6.
Mathematics
1 answer:
blsea [12.9K]3 years ago
6 0

The standard form of the polynomial is \rm 4x^3 +\dfrac{x^2}{2}-3x+6 and it can be determined by using properties of the polynomial.

Given that,

The given polynomial is,

\rm \dfrac{x^2}{2}-3x+4x^3+6

We have to determine,

The standard form of the polynomial.

According to the question,

<h2>Polynomial;</h2>

A polynomial is considered to be written in standard form if it is expressed in such a way that the term with the highest degree is written first, followed by the term which has the next highest degree,

The standard form of a polynomial is a method of writing polynomials with the exponents in decreasing order.

The standard form of the given polynomial is,

\rm \dfrac{x^2}{2}-3x+4x^3+6

Arrange the power of the polynomial in decreasing order,

The standard form of the polynomial is,

\rm 4x^3 +\dfrac{x^2}{2}-3x+6

Hence, The standard form of the polynomial is \rm 4x^3 +\dfrac{x^2}{2}-3x+6.

For more details about Polynomial refer to the link given below.

brainly.com/question/16301655

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Step-by-step explanation:

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7 0
4 years ago
The acceleration of an object (in m/s^2) is given by the function a(t) = 9 sin(t). The initial velocity of the object is v(0) =
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a) Acceleration is the derivative of velocity. By the fundamental theorem of calculus,

v(t)=v(0)+\displaystyle\int_0^ta(u)\,\mathrm du

so that

v(t)=\left(-11\frac{\rm m}{\rm s}\right)+\int_0^t9\sin u\,\mathrm du

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b) We get the displacement by integrating the velocity function like above. Assume the object starts at the origin, so that its initial position is s(0)=0\,\mathrm m. Then its displacement over the time interval [0, 3] is

s(0)+\displaystyle\int_0^3v(t)\,\mathrm dt=-\int_0^3(2+9\cos t)\,\mathrm dt=\boxed{-6-9\sin3}

c) The total distance traveled is the integral of the absolute value of the velocity function:

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=\displaystyle\int_0^{\cos^{-1}\left(-\frac29\right)}(2+9\cos t)\,\mathrm dt-\int_{\cos^{-1}\left(-\frac29\right)}^3(2+9\cos t)\,\mathrm dt

\displaystyle=\boxed{2\sqrt{77}-6+4\cos^{-1}\left(-\frac29\right)-9\sin3}

4 0
3 years ago
In order to get an A in science,jack needs to get a 92% on his next test.If test has 30 questions.What is the minimum number he
Katena32 [7]

Answer:

He would need to get a minimum of 28 questions correct.

Step-by-step explanation:

92% of 30 is 27.6 but you cant really get .6 of a question right, so you would need to round. Which makes it 28.

7 0
3 years ago
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