It helps to rewrite the given polynomial according to its degree (exponent), in <u>descending</u> order. Also, for variables without a coefficient, it helps to include "1" with it to make it less confusing when combining like terms.

- x³ + 3y + ( 1 )y + ( 1 )y + 5 + 2 - 4

One way to simplify a polynomial is to combine the like terms if there are any. Two or more terms in a polynomial are like terms if they have the same variable(s) with the same exponent.

- x³ is the only term with an exponent of 3, so we wouldn't have to combine it with other terms. We need to combine the terms with the variable "y," as they have the same degree of 1.

- x³ + 5y + 5 + 2 - 4

Lastly, combine the constants (5 + 2 - 4):

- x³ + 5y + 3

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3 years ago