Which could be the missing first term of the expression that, when fully simplified would be a binomial with a degree of 4 select three options - 5xy2 + 9x2y

Step-by-step explanation:

I can only solve for - 5xy3 + 9x2y

If 0 is the first term, upon simplifying this term would disappear and leave:

-5xy³+9x²y.

The degree of a binomial is found by finding the degree of each monomial and taking the largest one.

The degree of each monomial is found by adding the exponents of the variables; for - 5xy³, the degree would be 1+3=4; for 9x²y, it would be 2+1=3. The highest is 4, so the degree of the polynomial is 4.

If 9x²y is the first term, to simplify we would combine like terms. 9x²y + 9x²y would be the like terms, and would give us 18x²y; this makes the simplified polynomial

-5xy³ + 9x²y.

The degree of the first monomial is 1+3=4; the degree of the second monomial is 2+1=3. The highest is 4, so the degree of the polynomial is 4.

If 4xy³ is added, we simplify by combining like terms. 4xy³ - 5xy³ are the like terms, and give us - 1xy³.

This gives us the polynomial: - 1xy³ + 9xy²

The degree of the first monomial is 1+3=4; the degree of the second monomial is 1+2=3.

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