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tamaranim1 [39]
3 years ago
9

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

Mathematics
2 answers:
anygoal [31]3 years ago
8 0

Answer:

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

Step-by-step explanation:

Since, the highest degree in a polynomial is called the degree of the polynomial,

While, the degree of each term in a polynomial with two variables is the sum of the exponents in each term.

In 3x^5 + 8x^4y^2 - 9x^3y^3 - 6y^5,

Sum of exponents are 5, 6, 6, 5,

So, degree of the polynomial is 6.

In 2xy^4 + 4x^2y^3 - 6x^3y^2 - 7x^4,

Sum of exponents are 5, 5, 5, 4,

So, degree of the polynomial is 5.

In 8y^6 + y^5 - 5xy^3 + 7x^2y^2 - x^3y - 6x^4,

Sum of exponents are 6, 5, 4, 4, 4, 4

So, degree of the polynomial is 6.

In -6xy^5 + 5x^2y^3 - x^3y^2 + 2x^2y^3 -3xy^5,

Sum of exponents are 6, 5, 5, 5, 5

So, degree of the polynomial is 6.

Eddi Din [679]3 years ago
6 0
The degree of a polynomial is the highest exponent or sum of exponents of the variables in the individual terms of a polynomial.

Looking at each the polynomial:

3x5 + 8x4y2 – 9x3y3 – 6y5: Degree is 6 (look at the 2nd and 3rd term)

2xy4 + 4x2y3 – 6x3y2 – 7x4: Degree is 5 (look at 1st, 2nd, and 3rd term)

8y6 + y5 – 5xy3 + 7x2y2 – x3y – 6x4: Degree is 6 (look at 1st term)

–6xy5 + 5x2y3 – x3y2 + 2x2y3 – 3xy5: Degree is 6 (look at 1st and last term)

Therefore, the answer is the second option:
2xy4 + 4x2y3 – 6x3y2 – 7x4
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