x-intercept(s): (4 , 0) , (-1 ,0)
y-intercept(s): ( 0 , -4)
Find the x-intercepts.
To find the x-intercept(s), substitute in 0 for y and solve for x .
x² -3x-4 =0
Solve the equation.
Factor x² -3x-4
using the AC method.
Consider the form
x² + bx+c
Find a pair of integers whose product is c and whose sum is b .In this case, whose product is
− 4 and whose sum is -3.
-4,1
Write the factored form using these integers.
( x - 4 ) (x + 1) = 0
If any individual factor on the left side of the equation is equal to 0
, the entire expression will be equal to 0 .
(x - 4) = 0
(x + 1) = 0
solve for x
x = 4
x = -1
The final solution is all the values that make
(4 , -1)
x-intercept(s) in point form.
x-intercept(s):
(4 , 0) , (-1 ,0)
Find the y-intercepts.
To find the y-intercept(s), substitute in 0 for x and solve for y .
y = (0)² -3×0 -4
y = -4
y-intercept(s) in point form.
y-intercept(s):
( 0 , -4)
List the intersections.
x-intercept(s): (4 , 0) , (-1 ,0)
y-intercept(s): ( 0 , -4)
To learn more about Intercepts
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