Write the quadratic equation whose roots are -5 and -2 and who’s leading coefficient is 5

Answer 1

P(x) = 5(x + 5)(x + 2)

P(x) = 5(x^2 + 7x + 10)

P(x) = 5x^2 + 35x + 50

Answer 2

Hello Olivia,

Quadratic functions are written as follows:

P(x) = a(x- root1)(x- root2) where a is the leading coefficient

Therefore, P(x) = 5 (x- -5) (x- -2) = 5 (x + 5) (x + 2)