Question

Which represents the polynomial below written in standard form? – 3x + 4x3 + 6

Answer 1

The answer is B , the second one

Answer 2

Keywords:

Polynomial, standard form, coefficients, exponents, degree

For this case we must write the given polynomial in a standard way. We know that by definition, a polynomial, in its standard form, is given in the form:
`P (x) = ax ^ n + bx ^ {n-1} + ... + cx ^ 3 + dx ^ 2 + ex + f`

Where:

a, b, c, d, e, f: They are the coefficients of the polynomial

n, n-1,3,2,1,0: They are the exponents. This polynomial is of degree "n", because "n" is the largest exponent.

x: It is the variable

If we have:

`Q (x) = - 3x + 4x ^ 3 + 6`

Resscribing the polynomial in a standard way we have:

`Q (x) = 4x ^ 3-3x + 6`

This is a polynomial of degree 3.

Answer:

`Q (x) = 4x ^ 3-3x + 6`