Question

Consider the following polynomial:
6x + 5x4 – 10x + 8x3 – 7x2 + 92 Written in standard form, the polynomial has ____ terms. The constant term is _____. In standard form, the coefficient of the linear term is _____ .

Answer 1

Answer:

1. 5

2. 81

3. -4

Answer 2

For this case we have that by definition, a polynomial in its standard form is given by:

$P (x) = ax ^ n + bx ^ {n-1} + ... + cx ^ 3 + dx ^ 2 + ex + f$

Where:

n, n-1,3,2,1: Are the exponents. The degree of the polynomial is "n" because it is the greatest exponent.

a, b, c, d, e, f: Are the coefficients. "f" is the independent term

x: It is the variable

We have the following polimony:

$6x + 5x ^ 4-10x + 8x ^ 3-7x ^ 2 + 92$

We order in its standard form:

5x ^ 4 + 8x ^ 3-7x ^ 2 + 6x + 92

Thus, the polynomial has 5 terms.

The constant term is 92.

The coefficient of the linear term is 6.

ANswer:

The polynomial has 5 terms.

The constant term is 92.

The coefficient of the linear term is 6.