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Alex_Xolod [135]
3 years ago
7

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

ct three options -5xy2 + 9x2y
Mathematics
1 answer:
notka56 [123]3 years ago
3 0

Answer:

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.

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Step-by-step explanation:

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