State the degree and end behavior of the function?

Question

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

Answer 1

10th degree
and both ends are up...

multiply the factors out... only the x's...
So...

first factor (x-5)^6, the highest degree of x is x^6
The second factor, (x-3), the highest degree is x
The third factor, (x+4)^3, the highest degree is x^3

Now add the degrees: 6+1+3 = 10

And since there are no negatives, the ends are both pointing in the positive direction...

Answer 2

The degree is order 10 polynomial . The first term goes l;ike x^6, the second like x^1 and the third like x^3, or x^6*x^1*x^3 = x^(6+3+1) = x^10.

Function goes to +infinity as x goes to plus and minus infinity.