Match the function with its correct description.
A. The degree of the function is 4, and the leading coefficient is positive.
B. The degree of the function is 5, and the leading coefficient is negative.
C. The degree of the function is 6, and the leading coefficient is negative.
D. The degree of the function is 5, and the leading coefficient is positive.
When you have \(\large\color{slate}{ f(x)=(-x+1)^3(x+2)^2(x-3) }\). \(\large\color{slate}{ f(x)=(-x+1)^3 }\) yields a degree of 3, when you multiply it times \(\large\color{slate}{ (x+2)^2 }\) you have (the biggest) power of \(\large\color{slate}{ 5 }\) then when you multiply all "that" (which will have the degree of 5) times \(\large\color{slate}{ (x-3) }\) then your degree will go up by 1.
so your biggest power would be?
6?
@SolomonZelman
@ribhu
yes, 6 is the degree
so your answer is?
The degree of the function is 6, and the leading coefficient is negative.
yes.
also, the leading coefficient is negative, because you are multiplying all positive X's besides -x in the first term which with it's odd power (of 3) will still be negative
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