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2 years ago

Find the difference of the polynomials given below and classify it in terms of degree and number of terms.

Mathematics

1 answer:

BARSIC [14]2 years ago

8 0

Answer:

4th degree polynomial with 4 terms

Step-by-step explanation:

Given:

3n²(n²+ 4n - 5) - (2n² - n⁴ + 3)

Open parenthesis

= 3n⁴ + 12n³ - 15n² - 2n² + n⁴ - 3

Collect like terms

= 3n⁴ + n⁴ + 12n³ - 15n² - 2n² - 3

= 4n⁴ + 12n³ - 17n² - 3

Number 1 term is 4n²

Number 2 term is 12n³

Number 3 term is -17n³

Number 4 term is -3

The highest degree of the polynomial is 4th degree

Therefore,

The difference in 3n²(n²+ 4n - 5) - (2n² - n⁴ + 3) is

4th degree polynomial with 4 terms

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notsponge [240]

Answer:

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2 years ago

Earth revolves around the Sun in 365 days, but the planet Mercury does so in only 88 days. Compared to Earth, how many more comp

Elena L [17]

Answer:

In a 1000 days Mercury will make 8.624 more revolutions than Earth!

Step-by-step explanation:

<u>Earth</u> takes 365 days to make a complete revolution.

we can say that the rotational speed of Earth is $\dfrac{1}{365}\frac{\text{rev}}{\text{day}}$

so, in a 1000 days how many revolutions will Earth have made?

$\dfrac{1}{365}\frac{\text{rev}}{\text{day}}\times(1000\,\text{day})$

see that the 'day's cancel out. Simply multiply the two numbers!

$2.739\text{rev}$

<u>Next, do the same for Mercury</u>

we can say that the rotational speed of Mercury is $\dfrac{1}{88}\frac{\text{rev}}{\text{day}}$

as it completes 1 revolution in 88 days.

so, in a 1000 days how many revolutions will Mercury have made?

$\dfrac{1}{88}\frac{\text{rev}}{\text{day}}\times(1000\,\text{day})$

multiplying by 1/88 by 1000 yields:

$11.363\text{rev}$

The Question is how many MORE complete revolutions will Mercury make in 1000 days?

We need to subtract the revolutions of Mercury with Earth to find how far ahead is Mercury from Earth

$11.363\text{rev} - 2.739\text{rev}$

$8.624\text{rev}$

In a 1000 days Mercury will make 8.624 more revolutions than Earth!

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2 years ago

Mrs. Clark runs 1 3/4 miles in 1/3 hour How many miles can she run in one hour?

lbvjy [14]

I hope this is right.....

13/4 x 1/3 = 13/12 which in mixed number form is 1 and 1/12.

Have an awesome day :)

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2 years ago

Do these ratios form proportions? YES or NO

mart [117]

yes the answer is yesss

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2 years ago

The sum of two trinomials is 7x2 - 5x + 4. If one of the trinomials is 3x2 + 2x - 1, then what is the other trinomial?

allsm [11]

Total=sum of parts
Total= trinomial 1 + trinomial 2
Also, total - trinomial 1=trinomial 2

7x² - 5x + 4 -(3x² + 2x - 1)=missing trinomial
7x²-5x+4+(-1 )(3x²+2x-1 ) distribution of -1
7x²-5x+4+(-1)(3x²)+(-1)(2x)-(-1)(1)
7x²-5x+4-3x²-2x+1 simplified
7x²-3x²-5x-2x+4+1 commutative
4x²-7x+5 SOLUTION

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2 years ago

Read 2 more answers