The graph is an open circle at -1 with the line going towards the positive numbers.
The discriminant can be found using the formula b^2-4ac
First put your equation in standard form, where all your values are on one side, and just add f(x) or y in front of your equation.
y= 8p^2-8p+2
The first value of your equation is a (a=8)
The second term of your equation is b (b=-8)
The last term of your equation is c (c=2)
Plug in the values to the discriminant equation b^2-4ac
For the first letter we have 24 choices. Since letters can't repeat the second letter has 23 choices (24 minus 1 that was used for the first slot) and the third has 22 (24 minus one for the first slot and one for the second slot).
The total number of combinations is thus: 24 x 23 x 22= 12,144
Answer:
(1) {-1/4, 0, 3}
Step-by-step explanation:
Step 1: Factor left side of equation.
2x(4x+1)(x−3)=0
Step 2: Set factors equal to 0.
2x=0 or 4x+1=0 or x−3=0
x=0 or x= −1/4 or x=3