Degree of the polynomial

Algebra Level 2

What is the degree of the polynomial in two variables:

3 x 3 y 2 − 4 x 2 y 3 + 2 x y 3 − 4 x 2 y 2 + x y + 6 ? 3x^3y^2 - 4x^2y^3 + 2xy^3 - 4x^2y^2 + xy + 6?

Try this: All of my problems

4 3 6 5

Munem Shahriar by Munem Shahriar , 18, Bangladesh

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1 solution

Munem Shahriar
Jun 22, 2017

To find the degree of each term of the polynomial, add together the exponents of x x and y y

The degree of 3 x 3 y 2 3x^3y^2 is 3 + 2 = 5 3 + 2 = 5

The degree of − 4 x 2 y 3 -4x^2y^3 is 2 + 3 = 5 2 + 3 = 5

The degree of 2 x y 3 2xy^3 is 1 + 3 = 4 1 + 3 = 4

The degree of − 4 x 2 y 2 -4x^2y^2 is 2 + 2 = 4 2 + 2 = 4

The degree of x y xy is 1 + 1 = 2 1 + 1 = 2

The degree of 6 6 is 0 0

The largest degree is 5 5 , Therefore the polynomial has degree 5 5

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