Answer:
b = 2, c = 3
Explanation:
The zeros are x = - 1 and x = 3
Substitute the zeros into the equation and let y = 0
- (- 1)² - b + c = 0
- 1 - b + c = 0 → (1)
- 3² + 3b + c = 0
- 9 + 3b + c = 0 → (2)
Subtract (1) from (2) term by term, that is
- 8 + 4b = 0 ( add 8 to both sides )
4b = 8 ( divide both sides by 4 )
b = 2
Substitute b = 2 into either of the 2 equations and solve for c
Substituting into (1)
- 1 - 2 + c = 0
- 3 + c = 0 ( add 3 to both sides )
c = 3