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:

1. zeros at x=5 and x=−2.
2. f(0)=20.

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

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

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

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

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

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

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

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

:−1( ) = 13( − 6)( + 10)( ) = 0 =&gt; 13( − 6)( + 10) = 0 =&gt;&gt;6 , ( )&gt;0 ℎ − 10 &lt; =6 − 10 ( )&lt;0 &lt;6, &lt; −10 , ( ) &gt; 0( )&gt;0=&gt; ( ) &gt; 0 ℎ &lt; −10...