Answer:
A = (- 1, 0 ) and B = (4, 0 )
Explanation:
Given
y = x² - 3x - 4
To find the x- intercepts, let y = 0, that is
x² - 3x - 4 = 0
Consider the factors of the constant term (- 4) which sum to give the coefficient of the x- term (- 3)
The factors are - 4 and + 1 , since
- 4 × 1 = - 4 and - 4 + 1 = - 3, thus
(x - 4)(x + 1) = 0
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4 ⇒ point B
x + 1 = 0 ⇒ x = - 1 ⇒ point A