Question

Write the quadratic equation whose roots are 1 and -3, and whose leading coefficient is 5. (Use the letter x to represent the variable.)

Answer 1

Explanation:

Roots 1 and -3

x -1 = 0 x = 1

x+3 = 0. x = -3

(x - 1) (x + 3) = 0

x^2 + 3x - x - 3 = 0

x^2 + 2x - 3 = 0

Times the coefficient 5 =

5 [(x^2 + 2x - 3) = (0)]

5 x^2 + 10x - 15 = 0