What is the vertex of the graph of the function below? y=x^2+6x+5

y = x² + 6x + 5

Use the formula: -b/2a

a = 1

b = 6

- 6 / 2

= -3

The x-coordinate of the vertex is -3

Plug the x value back into the original equation to find the y-coordinate of the vertex

y = (-3)² + 6(-3) + 5

y = -4

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18