solving polynomials 8v( v- 10)

Question

The problem is 8V (v-10)

Answer 1

To solve this, you must distribute 8v to the terms inside the parentheses by multiplying 8v by each term separately, so:

 

8v(v-10)

 

8v²-80

 

 

 

 

Answer 2

f(v) = 8v(v - 10) is a Quadratic Function in Factored Form.

 

It's graph is a parabola that opens up b/c a = +8.

 

It's Zeros are v = 0 and v = 10. These are also it's v-intercepts.

 

It's Axis of Symmetry is halfway between the Zeros at v = 5.

 

It's Vertex is (5,f(5)) = (5,8(5)(5-10)) = (5,-200).

 

It's Vertex Form Equation is f(v) = 8(v - 5)^2 - 200.

 

It's Standard Form Equation is f(v) = 8v^2 - 80v.