Finding zero points - Examples, Exercises and Solutions

Determine the points of intersection of the function

$y=(x-5)(x+5)$

With the X

To find the point of intersection with the X-axis, we will want to establish that Y=0.

0 = (x-5)(x+5)

When we have an equation of this type, we know that one of these parentheses must be equal to 0, so we will check the possibilities.

x-5 = 0
x = 5

x+5 = 0
x = -5

 That is, we have two points of intersection with the x-axis, when we discover their x points, and the y point is already known to us (0, as we placed it):

(5,0)(-5,0)

This is the solution!

$(5,0),(-5,0)$

Determine the points of intersection of the function

$y=(x-2)(x+3)$

With the X

$(-3,0),(2,0)$

Determine the points of intersection of the function

$y=(x-1)(x+10)$

With the X

$(1,0),(-10,0)$

Determine the points of intersection of the function

$y=(x-3)(x+3)$

With the X

$(-3,0),(3,0)$

Determine the points of intersection of the function

$y=x(x+5)$

With the X

$(-5,0),(0,0)$

Determine the points of intersection of the function

$y=(x+7)(x+2)$

With the X

$(-2,0),(-7,0)$

Determine the points of intersection of the function

$y=(x+3)(x-3)$

With the X

$(3,0),(-3,0)$

Determine the points of intersection of the function

$y=(x-11)(x+1)$

With the X

$(-1,0),(11,0)$

Determine the points of intersection of the function

$y=(x+8)(x-9)$

With the X

$(-8,0),(9,0)$

Determine the points of intersection of the function

$y=(4x+8)(x+1)$

With the X

$(-1,0),(-2,0)$

Determine the points of intersection of the function

$y=(x-1)(x-1)$

With the X

$(1,0)$

Determine the points of intersection of the function

$y=x(-x-1)$

With the X

$(-1,0),(0,0)$

Consider the following function:

$y=x(x-1)$

Determine the points of intersection with x.

$(0,0),(1,0)$

Determine the points of intersection of the function

$y=(-x-3)(x-1)$

With the X

$(1,0),(-3,0)$

Determine the points of intersection of the function

$y=(x-2)(x+4)$

With the X

$(2,0),(-4,0)$