Use factoring to identify the x-intercepts of y = −5x^2 − x + 4
To find the x-intercepts, we set y equal to zero and solve for x:
0 = -5x^2 - x + 4
Let's factor this quadratic equation:
0 = (-x + 1)(5x + 4)
Setting each factor equal to zero and solving for x:
-x + 1 = 0 or 5x + 4 = 0
Adding x to both sides of the first equation and subtracting 1 from both sides:
x = 1
Subtracting 4 from both sides of the second equation and dividing by 5:
x = -4/5
Therefore, the x-intercepts are (1, 0) and (-4/5, 0).