Pythagorean theorem :)

A^2 + B^2 = C^2

Step-by-step explanation:

Your welcome!

x = 13

Step-by-step explanation:

In order to solve this you need to know the Pythagorean theorem:

a^2 + b^2 = c^2

a - 1 side

b - 2nd side

c - hypoteneuse

Step 1: Find the missing side of the triangles

** Note both triangles are equal to each other as shown by the dashed line in both that signifies both sides are equal to each other, and the 90-degree angle there as well**

Solve:

17^2 + b^2 = 19^2

289 + b^2 = 361

361 - 289 = 72

√72 = √b^2

8.5 = b (approximately, to the tenth)

Step 2: Because both of the triangles are equal to each other, the missing side is equal to 8.5, but there are two of them, in order to determine x, you need to add both values together:

8.5 + 8.5 = 17  

Then you   subtract it from the base value: 31

31 - 17 = 13

Therefore, x = 13, as that is the remaining of the base.  

f(x) = x^3 -2x^2 -3x

x( x^2 -2x-3)

x( x^2 +x -3x -3)

x( x(x+1) -3(x+1))

x( x-3)( x+1)

so zeroes are 0, 3,-1

its (2) option

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8