Respuesta :
Answer:
y = 3x² + 5x - 2
Step-by-step explanation:
Given the x- intercepts are x = - 2 and x = [tex]\frac{1}{3}[/tex]
Then the factors are (x + 2) and (x - [tex]\frac{1}{3}[/tex])
The quadratic is the product of its factors, that is
y = a(x + 2)(x - [tex]\frac{1}{3}[/tex]) ← a is a multiplier
Expand the factors
y = a(x² + [tex]\frac{5}{3}[/tex] x - [tex]\frac{2}{3}[/tex])
let a = 3
y = 3(x² + [tex]\frac{5}{3}[/tex] x - [tex]\frac{2}{3}[/tex])
= 3x² + 5x - 2
Answer:
3x^2 + 5x - 2
Step-by-step explanation:
In factor form this is:
(x + 2)(x - 1/3)
= x^2 - 1/3x + 2x - 2/3
= x^2 + 5/3 x = 2/3
Multiply through by 3:
= 3x^2 + 5x - 2 (answer).
