How do you find the x intercepts of function y= (x-2)(x+3)?

Answer 1

Know the definitions:

The x-intercept(s) of a function are the points at which the graph of the function intersect the x-axis. They are also referred to as zeros since the intersections are the points where the y-value of the function is equal to zero. The zeros of a polynomial are also referred to as roots.

Know the formulas:

The Zero Properties Law of multiplication says that any number multiplied by 0 equals 0.

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

y = 0

So, either:

0 = (x-2)*0

or

0 = 0*(x+3)

Know the procedures:

For 0 = x-2

x = 2

For 0 = x+3

x = -3

The x-intercepts are the points (2,0) and (-3,0).