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# 1) Find the interval(s) on which f(x)0 and f(x)0 , for f ( x ) = 13 ( x 6 ) ( x + 10 ) 2) Find the interval(s) on which f(x)0 and f(x)0 , for f (...

1) Find the interval(s) on which f(x)>0 and f(x)<0, for f(x)=13(x−6)(x+10)

2) Find the interval(s) on which f(x)>0 and f(x)<0, for f(x)=−17(x−2)(x+6)

3) Find the interval(s) on which f(x)>0 and f(x)<0, for f(x)=18(x−3)(x+7)^2(x−14)

4) Find the interval(s) on which f(x)>0 and f(x)<0, for f(x)=2(x+6)^3(x+11^)2(x−19)^4

5) Find an equation for a polynomial of degree 2 with the following properties:

- zeros at x=5 and x=−2.
- f(0)=20.

6) Find an equation for a polynomial of degree 3 with the following properties:

- zeros at x=5,x=15 and x=−3.
- f(0)=−2250.

7) Find an equation for a polynomial of degree 4 with the following properties:

- zeros at x=6,x=11 and x=−3.
- f(0)=−26136.
- f(x)<0 only on the interval (−3,6).

8) Find an equation for a polynomial of degree 5 with the following properties:

- zeros at x=4, and x=−6.
- f(0)=−13.
- f(x)>0 only on the interval (−∞,−6).

9) Find an equation for a polynomial of degree 5 with the following properties:

- zeros at x=4, and x=−6.
- f(0)=−13.
- f(x)>0 only on the interval (−∞,−6).