Question

Write the quadratic equation whose roots are -3 and 3 and whose leading coefficient is 5. (Use the letter x to represent the variable)

Answer 1

A(x - x₁)(x - x₂) = 0
a=5,  x₁=-3,  x₂ = 3

so:
5(x-(-3))(x-3)=0
5(x+3)(x-3)=0
5(x²-9) = 0
5x² - 45 = 0   ←  answer