Question

which is true about the degree of the sum and difference of the polynomials 3x5y – 2x3y4 – 7xy3 and –8x5y 2x3y4 xy3? both the sum and difference have a degree of 6. both the sum and difference have a degree of 7. the sum has a degree of 6, but the difference has a degree of 7. the sum has a degree of 7, but the difference has a degree of 6.

Answer 1

$3x^5y - 2x^3y^4 - 7xy^3 -8x^5y+ 2x^3y^4+ xy^3=-5x^5y-6xy^3$
$3x^5y - 2x^3y^4 - 7xy^3 +8x^5y- 2x^3y^4- xy^3=-4x^3y^4+11x^5y-8xy^3$
The sum has a degree of 6 but the difference has a degree of 7.

Answer 2

The degree of the sum and difference of the polynomials are 6 and 7 respectively.

What is the degree of the polynomial?

The degree of a polynomial is the highest power of the variable in a polynomial expression.

The degree of the sum and difference of the polynomials $\rm 3x^5y - 2x^3y^4 - 7xy^3 \ and \ -8x^5y +2x^3y^4+ xy^3$.

The degree of sum = monomial with highest power = 5 + 1 = 6

The degree of difference = monomial with highest power = 3 + 4 = 7

Therefore, the degree of the sum and difference of the polynomials are 6 and 7 respectively.

To get more about polynomials refer to:

brainly.com/question/1600696

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