The graph of f(x) = 3x² -5x-22 passes through the point (0-22) and one of its zeros is -2. What is the other zero of the function?​

Respuesta :

Answer: [tex]\frac{11}{3}[/tex], or 3 [tex]\frac{2}{3}[/tex] or 3.67

Step-by-step explanation:

[tex]3x^2-5x-22[/tex]

1. Factor

[tex](3x-11)(x+2)[/tex]

2. Set each expression in parenthesis equal to 0

[tex]3x-11 = 0, x+2 = 0[/tex]

3. Solve for X

[tex]x = \frac{11}{3} , x = -2[/tex]

4. Since we are given -2 as a solution, the other zero of the function is [tex]\frac{11}{3}[/tex], or 3 [tex]\frac{2}{3}[/tex]