Answer:
THIS QUESTION MAKES NO SENSE
Step-by-step explanation:
The coefficient of 10x and the last term 16 is what we'll focus on. Specifically just the numbers only (ignore the variable x for now).
Think of two numbers that both multiply to 16, and also add to 10. Those two numbers are 8 and 2 (in any order). You basically find this through trial and error.
8 + 2 = 10
8 * 2 = 16
So it factors to (x+8)(x+2). Since order of multiplication does not matter, this is the same as (x+2)(x+8)
The easist way to find the vertex is to complete the square:
y=2x^2 +11x-6 => <span>y=2[ x^2 + (11/2)x + (11/2)^2 - (11/2)^2 ] - 6
This can be rewritten as
y = 2[(x+11/2)^2 ] -(121/4) - 24/4
y = 2 (x+11/2)^2 - 145/4
this is the equation in vertex form. The vertex is at (-11/2, -145/4).</span>
Usually the easiest way to solve this is by using a calculator. Of course only if your teacher allows you too.