Which polynomial correctly combines the like, №9334016, 20.07.2020 17:46

Mathematics

I ONLY HAVE FIFTEEN MINUTES TO ANSWER. Which polynomial correctly combines the like terms and expresses the given polynomial in standard form? 8mn5 – 2m6 + 5m2n4 – m3n3 + n6 – 4m6 + 9m2n4 – mn5 – 4m3n3 a. n6 + 7mn5 + 14m2n4 – 5m3n3 – 6m6 b. –2m6 – 5m3n3 + 14m2n4 + 7mn5 + n6 c. 14m2n4 + 7mn5 – 6m6 – 5m3n3 + n6 d. n6 – 6m6 + 7mn5 + 14m2n4 – 5m3n3

Step-by-step answer

P Answered by PhD

7

Answer c is the correct option:) the explanation is complicated just like the question lol

Mathematics

Which polynomial correctly combines the like terms and expresses the given polynomial in standard form? 8mn5 – 2m6 + 5m2n4 – m3n3 + n6 – 4m6 + 9m2n4 – mn5 – 4m3n3 n6 + 7mn5 + 14m2n4 – 5m3n3 – 6m6 –2m6 – 5m3n3 + 14m2n4 + 7mn5 + n6 14m2n4 + 7mn5 – 6m6 – 5m3n3 + n6 n6 – 6m6 + 7mn5 + 14m2n4 – 5m3n3

Step-by-step answer

P Answered by Specialist

194

A. n6+7mn5+14m2n4–5m3n3–6m6

Step-by-step explanation

Mathematics

Which polynomial correctly combines the like terms and expresses the given polynomial in standard form? 8mn5 – 2m6 + 5m2n4 – m3n3 + n6 – 4m6 + 9m2n4 – mn5 – 4m3n3 a) n6 + 7mn5 + 14m2n4 – 5m3n3 – 6m6 b) –2m6 – 5m3n3 + 14m2n4 + 7mn5 + n6 c) 14m2n4 + 7mn5 – 6m6 – 5m3n3 + n6 d) n6 – 6m6 + 7mn5 + 14m2n4 – 5m3n3

Step-by-step answer

P Answered by Master

option (d) is correct.

n^6-6m^6+7mn^5+14m^2n^4-5m^3n^3

Step-by-step explanation:

Given polynomial,

8mn^5-2m^6+5m^2n^4-m^3n^3+n^6-4m^6+9m^2n^4-mn^5-4m^3n^3

We have to combine like terms and rewrite the polynomial in standard form,

Standard form of a polynomial refers to the writing each term in increasing order of degreethat is from highest to lowest degree.

First we combine like terms,

Here, 8mn^5 and -mn^5 has same power. so adding them we get, 7mn^5

Similarly, -2m^6-4m^6=-6m^6

also, +5m^2n^4+9m^2n^4=14m^2n^4

also, -m^3n^3-4m^3n^3=-5m^3n^3

Thus, when we add all term and writing again in standard form, we get,

n^6-6m^6+7mn^5+14m^2n^4-5m^3n^3

Thus, option (d) is correct.

Mathematics

Which polynomial correctly combines the like terms and expresses the given polynomial in standard form? 8mn5 – 2m6 + 5m2n4 – m3n3 + n6 – 4m6 + 9m2n4 – mn5 – 4m3n3 a) n6 + 7mn5 + 14m2n4 – 5m3n3 – 6m6 b) –2m6 – 5m3n3 + 14m2n4 + 7mn5 + n6 c) 14m2n4 + 7mn5 – 6m6 – 5m3n3 + n6 d) n6 – 6m6 + 7mn5 + 14m2n4 – 5m3n3

Step-by-step answer

P Answered by Specialist

option (d) is correct.

n^6-6m^6+7mn^5+14m^2n^4-5m^3n^3

Step-by-step explanation:

Given polynomial,

8mn^5-2m^6+5m^2n^4-m^3n^3+n^6-4m^6+9m^2n^4-mn^5-4m^3n^3

We have to combine like terms and rewrite the polynomial in standard form,

Standard form of a polynomial refers to the writing each term in increasing order of degreethat is from highest to lowest degree.

First we combine like terms,

Here, 8mn^5 and -mn^5 has same power. so adding them we get, 7mn^5

Similarly, -2m^6-4m^6=-6m^6

also, +5m^2n^4+9m^2n^4=14m^2n^4

also, -m^3n^3-4m^3n^3=-5m^3n^3

Thus, when we add all term and writing again in standard form, we get,

n^6-6m^6+7mn^5+14m^2n^4-5m^3n^3

Thus, option (d) is correct.

Mathematics

Which polynomial correctly combines the like terms and expresses the given polynomial in standard form? 8mn5 – 2m6 + 5m2n4 – m3n3 + n6 – 4m6 + 9m2n4 – mn5 – 4m3n3 n6 + 7mn5 + 14m2n4 – 5m3n3 – 6m6 –2m6 – 5m3n3 + 14m2n4 + 7mn5 + n6 14m2n4 + 7mn5 – 6m6 – 5m3n3 + n6 n6 – 6m6 + 7mn5 + 14m2n4 – 5m3n3

Step-by-step answer

P Answered by Specialist

2

8mn5 – 2m6 + 5m2n4 – m3n3 + n6 – 4m6 + 9m2n4 – mn5 – 4m3n3

Mathematics

Which polynomial correctly combines the like terms and expresses the given polynomial in standard form? 8mn5 – 2m6 + 5m2n4 – m3n3 + n6 – 4m6 + 9m2n4 – mn5 – 4m3n3 n6 + 7mn5 + 14m2n4 – 5m3n3 – 6m6 –2m6 – 5m3n3 + 14m2n4 + 7mn5 + n6 14m2n4 + 7mn5 – 6m6 – 5m3n3 + n6 n6 – 6m6 + 7mn5 + 14m2n4 – 5m3n3

Step-by-step answer

P Answered by Master

2

8mn5 – 2m6 + 5m2n4 – m3n3 + n6 – 4m6 + 9m2n4 – mn5 – 4m3n3

Mathematics

Which polynomial correctly combines the like terms and expresses the given polynomial in standard form? 8mn5 – 2m6 + 5m2n4 – m3n3 + n6 – 4m6 + 9m2n4 – mn5 – 4m3n3 n6 + 7mn5 + 14m2n4 – 5m3n3 – 6m6 –2m6 – 5m3n3 + 14m2n4 + 7mn5 + n6 14m2n4 + 7mn5 – 6m6 – 5m3n3 + n6 n6 – 6m6 + 7mn5 + 14m2n4 – 5m3n3

Step-by-step answer

P Answered by Master

194

A. n6+7mn5+14m2n4–5m3n3–6m6

Step-by-step explanation

Mathematics

Which polynomial correctly combines the like terms and expresses the given polynomial in standard form? 8mn5 – 2m6 + 5m2n4 – m3n3 + n6 – 4m6 + 9m2n4 – mn5 – 4m3n3 a) n6 + 7mn5 + 14m2n4 – 5m3n3 – 6m6 b) –2m6 – 5m3n3 + 14m2n4 + 7mn5 + n6 c) 14m2n4 + 7mn5 – 6m6 – 5m3n3 + n6 d) n6 – 6m6 + 7mn5 + 14m2n4 – 5m3n3

Step-by-step answer

P Answered by Specialist

option (d) is correct.

n^6-6m^6+7mn^5+14m^2n^4-5m^3n^3

Step-by-step explanation:

Given polynomial,

8mn^5-2m^6+5m^2n^4-m^3n^3+n^6-4m^6+9m^2n^4-mn^5-4m^3n^3

We have to combine like terms and rewrite the polynomial in standard form,

Standard form of a polynomial refers to the writing each term in increasing order of degreethat is from highest to lowest degree.

First we combine like terms,

Here, 8mn^5 and -mn^5 has same power. so adding them we get, 7mn^5

Similarly, -2m^6-4m^6=-6m^6

also, +5m^2n^4+9m^2n^4=14m^2n^4

also, -m^3n^3-4m^3n^3=-5m^3n^3

Thus, when we add all term and writing again in standard form, we get,

n^6-6m^6+7mn^5+14m^2n^4-5m^3n^3

Thus, option (d) is correct.

Mathematics

I ONLY HAVE FIFTEEN MINUTES TO ANSWER. Which polynomial correctly combines the like terms and expresses the given polynomial in standard form? 8mn5 – 2m6 + 5m2n4 – m3n3 + n6 – 4m6 + 9m2n4 – mn5 – 4m3n3 a. n6 + 7mn5 + 14m2n4 – 5m3n3 – 6m6 b. –2m6 – 5m3n3 + 14m2n4 + 7mn5 + n6 c. 14m2n4 + 7mn5 – 6m6 – 5m3n3 + n6 d. n6 – 6m6 + 7mn5 + 14m2n4 – 5m3n3

Step-by-step answer

P Answered by PhD

7

Answer c is the correct option:) the explanation is complicated just like the question lol

Mathematics

Which polynomial correctly combines the like terms and expresses the given polynomial in standard form? 8mn5 – 2m6 + 5m2n4 – m3n3 + n6 – 4m6 + 9m2n4 – mn5 – 4m3n3 n6 + 7mn5 + 14m2n4 – 5m3n3 – 6m6 –2m6 – 5m3n3 + 14m2n4 + 7mn5 + n6 14m2n4 + 7mn5 – 6m6 – 5m3n3 + n6 n6 – 6m6 + 7mn5 + 14m2n4 – 5m3n3

Step-by-step answer

P Answered by Specialist

The given polynomial is:

$8m n^{5}-2 m^{6} +5 m^{2} n^{4} - m^{3} n^{3}+ n^{6}-4 m^{6} +9 m^{2} n^{4}- m n^{5}-4 m^{3} n^{3}$

Rearranging the polynomial and bringing the like terms together:

$8m n^{5}- m n^{5}-2 m^{6}-4 m^{6} +5 m^{2} n^{4}+9 m^{2} n^{4} - m^{3} n^{3} -4 m^{3} n^{3} + n^{6}$

Performing the addition and subtraction of the terms to simplify the polynomial:

$7m n^{5}-6 m^{6} +14 m^{2} n^{4} - 5m^{3} n^{3} + n^{6}$

Writing the polynomial in standard form. There can be two possible standard forms for this problem, with respect to variable m or with respect to variable n. In standard form we start from the highest exponent of the variable and move towards the smallest one. With respect to variable n, the standard form will be:

$n^{6}+7m n^{5}+14 m^{2} n^{4} - 5m^{3} n^{3}-6 m^{6}$

The 1st option lists the polynomial in standard form with respect to variable n.

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