Question

What is the coefficient of the highest power of x in.The polynomial 2x^3 - 4x^4 + 5x^2 - x^5 + 3?

Answer 1

Given:

2x^3 - 4x^4 + 5x^2 - x^5 + 3.

To find:

The coefficient of the highest power of x in the given polynomial.

Solution:

1) Polynomial is the algebraic expression which consist of the variable and coefficients.

2) Coefficients are the number of the variable. Now we have to consider the coefficient of the variable.  

• 2x³ - 4x⁴ + 5x² - x⁵ + 3  

• -x⁵ - 4x⁴ + 2x³ + 5x² + 3

Highest degree is 5

and its coefficient is -1

The coefficient of the highest power of x in the given polynomial is -1.

Answer 2

the coefficient of the highest power of x in.The polynomial 2x^3 - 4x^4 + 5x^2 - x^5 + 3 is -1.