Question

Add the following polynomials, then place the answer in the proper location on the grid. Write answer in descending powers of x. -4x2+3xy-y2 -7x2-xy+6y2 x2+4xy-2y2

Answer 1

Polynomials are algebraic expressions that have variables and constants

The result of adding the polynomials is $-10x^2+6xy+3y^2$

How to determine the polynomial

The sum of the polynomials is given as:

$-4x^2+3xy-y^2 -7x^2-xy+6y^2 + x^2+4xy-2y^2$

Collect like terms

$-7x^2-4x^2+ x^2+3xy -xy +4xy-2y^2-y^2+6y^2$

Evaluate the like terms

$-10x^2+6xy+3y^2$

Hence, the result of adding the polynomials is $-10x^2+6xy+3y^2$

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