What is the leading term, leading coefficient, and degree of this polynomial f(x) = 3x^5 + 6x^4 – x – 3?

1 Answer
Apr 19, 2018

color(green)("Leading Term is ") color(blue)( 3x^5

color(green)("Leading degree " = 5,) color(blue)(" exponent of " 3x^5

color(green)("Leading coefficient " = 3,) color(blue)( " coefficient of " 3x^5

Explanation:

f(x) = 3x^5 + 6x^4 - x - 3

  1. Identify the term containing the highest power of x. to find the leading term.

color(green)("Leading Term is ") color(blue)( 3x^5

  1. Find the highest power of x. to determine the degree function

color(green)("Leading degree " = 5,) color(blue)(" exponent of " 3x^5
.
3. Identify the coefficient of the leading term.

color(green)("Leading coefficient " = 3,) color(blue)( " coefficient of " 3x^5