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What binomial do you have to add to the polynomial:


2x^(2) +3y^(2) -5xy+1
to get the following?
A polynomial that does not contain the variable x
--------------
Same thing but get a polynomial that does not contain the variable y:

2x^(2) +3y^(2) -5xy+1

User John Sall
by
7.9k points

1 Answer

4 votes

Answer:

a)
-2x^2+5xy

b)
-3y^2+5xy

Explanation:

Part (a)

Given polynomial :
2x^2+3y^2-5xy+1

The binomial that should be added to the given polynomial to get a polynomial that does not contain the variable x is:


-2x^2+5xy


(2x^2+3y^2-5xy+1)+(-2x^2+5xy)


=2x^2+3y^2-5xy+1-2x^2+5xy


=2x^2-2x^2+3y^2-5xy+5xy+1


=3y^2+1

Part (b)

Given polynomial :
2x^2+3y^2-5xy+1

The binomial that should be added to the given polynomial to get a polynomial that does not contain the variable y is:


-3y^2+5xy


(2x^2+3y^2-5xy+1)+(-3y^2+5xy)


=2x^2+3y^2-5xy+1-3y^2+5xy


=2x^2+3y^2-3y^2-5xy+5xy+1


=2x^2+1

User Atharva
by
7.9k points

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