Question

(1 point)

5. Write the polynomial in standard form. Then name the polynomial based on its degree and
number of terms.
5x + 2x4 – 4
O 5x – 4 + 2x4, not a polynomial
O 2x4 + 5x – 4; fourth-degree trinomial
O 5x + 2x4 – 4; quadratic monomial
O 2x4 + 5x – 4; cubic binomial

Answer 1

Option (2)

Explanation:

Standard form of the polynomial will be in the form of (ax⁴+ bx³+ cx²+ dx + e).

Which means exponents of each successive term will be in the reducing form and the last term will be a constant term.

Now we can rearrange the terms of the given polynomial (5x + 2x⁴ - 4) for the standard form.

(2x⁴ + 5x - 4)

Since, degree of the leading term = 4

And number of terms = 3

Given polynomial is a fourth degree trinomial.

Option (2) will be the answer.