Determining the zeros means that you are looking for the x-intercept of the function....
You can factor this function ....
QUADRATIC FORMULA : ax^2 + bx + c
f(x) = - 8 x^2 + 2x + 1
Set f(x) to 0 and factor the expression....
0 = - 8 x^2 + 2x + 1
Get everything to the left side... because variables have to be on the left side
8x^2 - 2x - 1 = 0
Now factor... a = 8 , b = -2 , c = - 1
To factor... Start by multiplying a * c => 8 * -1 => - 8
Now you have to find two numbers that multiply to -8 and add up to b which is -2 We could use - 4 and 2 because... - 4 * 2 = - 8 - 4 + 2 = - 2 Now you rewrite the expression.... 8x^2 - 4x + 2x - 1 Now take out common factors... 4x ( 2x - 1 ) + 1 ( 2x - 1 ) ( 2x - 1 ) ( 4x + 1 ) Now you have to write two separate equations and solve for x...
( 2 x - 1 ) ( 4x + 1 )
2x - 1 = 0 4x + 1 = 0
Add one to both sides.. Subtract 1 from both sides...
2x = 1 4x = - 1
Divide by 2 to x by its self... Divide by 4
x = 1/2 x = - 1/4
The zeros of f(x) = - 8 x^2 + 2x + 1 are 1/2 and -1/4
Well, youlook at the ratio and see that it is 3-6, total out of 9 flowers: 3pink and 6blue. You divide 72 by 9 to put it in the context of the ratio and get 8. Next you multiply 8 by 3, and you get 24/72 flowers are pink.
3+6=9, 9/72=8, 8*3=24 pink, 24/72 flowers are pink
