Quadratic equation

Question

write a quadratic equations whose roots are 3 and negative 1 and whose leading coefficient is 5

Answer 1

If the roots are 3 and -1 then the factors are (x - 3) and (x - -1) or (x + 1)

With a leading coefficient of 5, we can add a 5 out front to get:

f(x) = 5(x - 3)(x + 1)

If you want to multiply this out, you would get:

f(x) = 5(x² - 2x - 3)

f(x) = 5x² - 10x - 15