Describe and correct the error a student made when naming the polynomial

-2x3 + 5x4 - 3x is a

cubic trinomial

+

Choose the correct answer below

O A. The student did not put the polynomial in ascending order of the degrees of the terms before naming it by the first term. It is a linear trinomial.

O B. The student did not combine like terms before naming the polynomial. It is a degree-8 polynomial.

O C. The student did not put the polynomial in standard form before naming it by the first term. It is a fourth-degree trinomial.

OD. The student did not put the polynomial in standard form before naming it by the first term. It is a quadratic trinomial.

Question

11-09-2020
Mathematics

contestada

Describe and correct the error a student made when naming the polynomial

-2x3 + 5x4 - 3x is a

cubic trinomial

+

Choose the correct answer below

O A. The student did not put the polynomial in ascending order of the degrees of the terms before naming it by the first term. It is a linear trinomial.

O B. The student did not combine like terms before naming the polynomial. It is a degree-8 polynomial.

O C. The student did not put the polynomial in standard form before naming it by the first term. It is a fourth-degree trinomial.

OD. The student did not put the polynomial in standard form before naming it by the first term. It is a quadratic trinomial.

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raphealnwobi raphealnwobi · Answer 1 · 2020-09-11T05:03:52+02:00

Answer:

C. The student did not put the polynomial in standard form before naming it by the first term. It is a fourth-degree trinomial.

Step-by-step explanation:

A trinomial is a polynomial with three variables. The polynomial -2x³ + 5x⁴ - 3x has three variables hence it is a trinomial.

The degree of a polynomial is the highest degree of a variable in a polynomial equation.

The polynomial -2x³ + 5x⁴ - 3x can be arranged as The polynomial 5x⁴ - 2x³ - 3x, hence the variable with the highest degree is 5x⁴ which has a degree of 4.

Therefore The polynomial -2x³ + 5x⁴ - 3x has a degree of 4

This means the polynomial -2x³ + 5x⁴ - 3x is a trinomial with a degree of 4