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what is the equation of quadratic function whose zeros are 3/5 and 3​

Sagot :

Answer:

[tex]x^{2} - \frac{18}{5} x - \frac{9}{5} = 0[/tex]

Step-by-step explanation:

1.  First, convert the zeros to a equation.

  • [tex]\frac{3}{5}[/tex]  →   x -  [tex]\frac{3}{5}=0[/tex]
  • 3 →  x - 3 = 0

2.  Multiply the equations using foil method.

  • (x - [tex]\frac{3}{5}[/tex] ) × (x - 3)

→  [tex]x^{2} - 3x - \frac{3}{5} x - \frac{9}{5} = 0[/tex]

3. Combine like terms.

  • [tex]x^{2} - \frac{18}{5} x - \frac{9}{5} = 0[/tex]