Which could be the missing first term of the expression that, when fully simplified, would be a binomial with a degree of 4? check all that apply.

– 5xy3 + 9x2y
0
5xy3
9x2y
8y4
4xy3

Option 1,3,5

Step-by-step explanation:

Given : where A is the blank space or missing term.

To find : Which could be the missing first term of the expression that, when fully simplified, would be a binomial with a degree of 4?

Solution :

The degree of each monomial is found by adding the exponents of the variables

1) 0

If 0 is the first term, and we simplify the given term A became 0

So, The expression left is

The degree of each monomial is

For , the degree would be 1+3=4;

For , the degree would be 2+1=3.  

The highest is 4, so the degree of the polynomial is 4.

2)

If is the first term, and we simplify the given term,

So, The expression is

The degree of monomial   is 1+2=3;

It is not a binomial with degree 4.

3)

If is the first term, and we simplify the given term

So, The expression is

The degree of each monomial is

For , the degree would be 1+3=4;

For , the degree would be 2+1=3.  

The highest is 4, so the degree of the polynomial is 4.

4)

If is the first term, and we simplify the given term,

So, The expression is

The given result is not a binomial.

5)

If is the first term, and we simplify the given term

So, The expression is

The degree of each monomial is

For , the degree would be 1+3=4;

For , the degree would be 2+1=3.  

The highest is 4, so the degree of the polynomial is 4.

Therefore, Option 1,3,5 are the first missing term of the given expression satisfying a binomial with degree 4.

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step-by-step explanation:

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