<u>Answer:</u>
The equation of a polynomial of degree 3, with zeros 1, 2 and -1 is 
<u>Solution:</u>
Given, the polynomial has degree 3 and roots as 1, 2, and -1. And f(0) = 2.
We have to find the equation of the above polynomial.
We know that, general equation of 3rd degree polynomial is  

where a, b, c are roots of the polynomial.
Here in our problem, a = 1, b = 2, c = -1.
Substitute the above values in f(x)


So, the equation is 
Let us put x = 0 in f(x) to check whether our answer is correct or not.

Hence, the equation of the polynomial is 
 
        
             
        
        
        
Option C
<u>ANSWER:
</u>
The scientific notation of 108200000 is  So the correct option is c.
 So the correct option is c.
<u>SOLUTION:
</u>
Given,the average distance from Venus to the Sun is 108,200,000 kilometers.
We need to find the above given distance in the scientific notation.
Scientific notation is nothing but writing the large numbers as product of ten power something so that we can reduce space required to write that number.
Now,  108200000  can be written in scientific notation as:
= 10820000 x 10







Hence the scientific notation of 108200000 is  So the correct option is c.
 So the correct option is c.
 
        
             
        
        
        
Lateral area of the cone is given by:
LA=πr√(h²+r²)
where:
h=height
r=radius
Given that LA=287.5 yd² and r=(15/2) yds, then the height will be:
287.5=7.5π√(h²+7.5²)
solving for h we get:
(287.5/7.5π)²=h²+7.5²
thus
h²=(287.5/7.5π)²-7.5²
h²=63.1851597
 To get the slant height we use Pythagorean theorem.
c²=a²+b²
a²=h², b²=7.5²
thus
c²=h²+7.5²
c²=63.1851597+56.25
c²=119.4351597
c=10.92864~10.9 yards
        
             
        
        
        
Answer:
(-5 1/9, -4)
Step-by-step explanation:
Add the equations
5y=-20
y=-4
-9x+8(-4)=22
-9x-32=22
-9x=46
x= - 5 1/9