What is the leading term, leading coefficient, and degree of this polynomial $f(x)=-2x^3(x+5)^4(x-3)^2$ ?

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Answer 1 · 2015-09-14T04:06:01

The leading term is $- 2 x^9$ , and the leading coefficient is $- 2$ , and the degree of this polynomial is 9.

You first express the the polynomial in its canonical form consisting of a conbination of monomials, you get:

$-2x^9-8x^8-198x^7+620 x^6+2050x^5-1500x^4-11250x^3$

The degree is the term with the greatest exponent, which is in this case 9.

What is the leading term, leading coefficient, and degree of this polynomial f(x)=-2x^3(x+5)^4(x-3)^2f(x)=-2x^3(x+5)^4(x-3)^2?