Question

Which polynomial correctly combines the like terms and puts the given polynomial in standard form? –5x3y3 8x4y2 – xy5 – 2x2y4 8x6 3x2y4 – 6xy5 –7xy5 5x2y4 – 5x3y3 8x4y2 8x6 5xy5 8x4y2 x2y4 – 5x3y3 8x6 8x6 5xy5 8x4y2 x2y4 – 5x3y3 8x6 8x4y2 – 5x3y3 x2y4 – 7xy5.

Answer 1

The polynomial correctly combines the like terms and puts the given polynomial in standard form is $\rm 8x^6+ 8x^4y^2 - 5x^3y^3 +x^2y^4 -7xy^5.$

The correct option is D.

Given

Expression; $\rm -5x3y^3 + 8x4y^2 - xy^5 - 2x2y^4 + 8x^6 + 3x^2y^4 - 6xy^5$

What is polynomial?

A polynomial is an expression consisting of coefficients and variables which are also known as indeterminates.

We have to combine the like terms which means the terms with the same degree.

Therefore,

The correctly combines the like terms;

$\rm =-5x^3y^3 + 8x^4y^2 - xy^5 - 2x^2y^4 + 8x^6 + 3x^2y^4 - 6xy^5\\\\=8x^6 +8x^4y^2--5x^3y^3+ 3x^2y^4- 2x^2y^4 - xy^5 -6xy^5\\\\= 8x^6+ 8x^4y^2 - 5x^3y^3 +x^2y^4 -7xy^5.$

Hence, the polynomial correctly combines the like terms and puts the given polynomial in standard form is $\rm 8x^6+ 8x^4y^2 - 5x^3y^3 +x^2y^4 -7xy^5.$

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