Question

Which algebraic expression is a polynomial with a degree of 5?

3x5 + 8x4y2 – 9x3y3 – 6y5
2xy4 + 4x2y3 – 6x3y2 – 7x4
8y6 + y5 – 5xy3 + 7x2y2 – x3y – 6x4
–6xy5 + 5x2y3 – x3y2 + 2x2y3 – 3xy5

Answer 1

b is your answer

Explanation:

Answer 2

2xy4 + 4x2y3 – 6x3y2 – 7x4

Explanation:

The degree of a polynomial is the highest exponent of the expression. If there is more than one variable, the degree is calculated by adding the the exponents of the variables in the term.

3x5 + 8x4y2 – 9x3y3 – 6y5 has the term x3y3 and x4y2 which is degree 6

2xy4 + 4x2y3 – 6x3y2 – 7x4 has the term x2y3 and x3y2 which is degree 5

8y6 + y5 – 5xy3 + 7x2y2 – x3y – 6x4 has the term y6 which is degree 6

–6xy5 + 5x2y3 – x3y2 + 2x2y3 – 3xy5 has the term xy5 which is degree 6