Question

hey there, can you help we with this? f(x) = 2x(3x + 1)2 (5x – 4)3 a. The degree of the function is Nrite your response here.. b. The leading coefficient is write your response here... *

Answer 1

• Degree: 6

,

• Leading Coefficient: 2250

Explanation:

Given the function:

`f(x)=2x(3x+1)^2(5x-4)^3`

(a)Degree

`\begin{gathered} 2x\text{ has a degree of 1} \\ (3x+1)^2\text{ has a degree of 2} \\ (5x-4)^3\text{ has a degree of 3.} \\ \text{ Add the degrees up:} \\ 1+2+3=6 \end{gathered}`

The degree of the function is 6.

(b)Leading Coefiicient

First, find the leading coefficient of each of the terms.

`\begin{gathered} \text{ The leading coefficient of 2x}=2 \\ \text{ The leading coefficient of }(3x+1)^2=3*3=9 \\ \text{ The leading coefficient of }(5x-4)^3=5^3=125 \end{gathered}`

Multiply all the leading coefficients:

`2*9*125=2250`

The leading coefficient is 2250.