Mathematics, 27.02.2020 20:20 61497

Which statement is true about the polynomial
3x^y] + 8xy) - 3+ 18x) - 3xys after it has been fully simplified?
It has 3 terms and a degree of 5.
It has 3 terms and a degree of 7
It has 4 terms and a degree of 5.
It has 4 terms and a degree of 7.

Answers: 2

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Answer from: ccompassimvu

Question:

Which statement is true about the polynomial

–3x4y3 + 8xy5 – 3 + 18x3y4 – 3xy5 after it has been fully simplified?

It has 3 terms and a degree of 5.

It has 3 terms and a degree of 7.

It has 4 terms and a degree of 5.

It has 4 terms and a degree of 7.

Option D: It has 4 terms and a degree of 7.

Explanation:

The given polynomial is 3x^4y^3+8xy^5-3+18x^3y^4-3xy^5

We need to simplify the polynomial to determine the number of terms and the degree of the polynomial.

Hence, the simplified polynomial is given by

$3 x^{4} y^{3}+5x y^{5}-3+18 x^{3} y^{4}$

Term of a polynomial:

The term of a polynomial consists of a number multiplied by a variable or it may be a constant.

Thus, the simplified polynomial has 4 terms.

Degree of a polynomial:

The degree of a polynomial is the sum of exponents of the variables in a term.

Thus, the simplified polynomial has a degree of 7.

Hence, the polynomial has 4 terms and a degree of 7.

Therefore, Option D is the correct answer.

Answer from: Quest

a) one student is chosen from classroom a, then a student is chosen from classroom b.

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b. this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes. this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes. this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes. this makes them dependent events.

Answer from: Quest

Where is the table?

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3x^y] + 8xy) - 3+ 18x) - 3xys after it has been f...

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