contestada

which of the following expression(s) are fourth-degree binomials? select all that apply
A. 4x^3y + 6y
B. 4y^3 + 4x^3
C. 3y^3 + 3x^2y^2
D. 3x^4 - 3x^3y^2+ 7xy^3+4

Respuesta :

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I beleive the answer is D and C

Option (A) 4x³y + 6y and (C) 3y³ + 3x²y² are fourth-degree binomials.

What is polynomial?

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

A. 4x³y + 6y

Here, the sum of the power of x and y is 4(3+1)

It is a fourth-degree binomial.

B. 4y³ + 4x³

Here, the power of x and y are 3

It is not a fourth-degree binomial.

C. 3y³ + 3x²y²

Here, the sum of the power of x and y is 4(2+2)

It is a fourth-degree binomial.

D. 3x⁴- 3x³y²+ 7xy³+4

Here, the sum of the power of x and y is 4(2+2) and greatest degree is 5(3+2)

It is not a fourth-degree binomial.

Thus, option (A) 4x³y + 6y and (C) 3y³ + 3x²y² are fourth-degree binomials.

Learn more about Polynomial here:

brainly.com/question/17822016

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