Question

Consider the following polynomial:

X^4 - 5x + 2x^3 + x^2 - 9
The coefficient of the linear term is ____, the coefficient of the quadratic term is ____, and the coefficient of the cubic term is ____.
The coefficient of the linear term is:
-5
2
1
0
The coefficient of the quadratic term is:

-5
2
1
0
The coefficient of the cubic term is:

-5
2
1
0

Answer 1

The coefficient of the linear term is -5, the coefficient of the quadratic term is 2, and the coefficient of the cubic term is 1.

Step-by-step explanation:

The coefficient of the linear term is -5, the coefficient of the quadratic term is 2, and the coefficient of the cubic term is 1.

To find the coefficients of each term in the given polynomial, we look for the terms that have the same variable raised to the same power:

• The linear term is -5x, with a coefficient of -5.
• The quadratic term is x^2, with a coefficient of 1.
• The cubic term is 2x^3, with a coefficient of 2.