Respuesta :

The Binomial [tex]-2x^{2} + 5xy[/tex] have to be add to the polynomial [tex]2x^{2} +3y^{2} -5xy+1[/tex] to get polynomial that does not contain x.

What is binomial?

A mathematical expression consisting of two terms connected by a plus sign or minus sign.

Example: x + 2 is a binomial, where x and 2 are two separate terms.

What is polynomial?

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer

According to question

polynomial [tex]2x^{2} +3y^{2} -5xy+1[/tex]

When added to binomial [tex]-2x^{2} + 5xy[/tex]

= [tex]3y^{2} +1[/tex]  (as [tex]2x^{2} -5xy[/tex] got cancelled )

and this polynomial does not contain x

Hence, Binomial [tex]-2x^{2} + 5xy[/tex] have to be add to polynomial [tex]2x^{2} +3y^{2} -5xy+1[/tex] to get polynomial that does not contain x.

To know more about Binomial and polynomial  here :

https://brainly.com/question/1698358?\

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