Problem Page Write the quadratic equation whose roots are 1 and 2, and whose leading coefficient is 5.

Question

Problem Page Write the quadratic equation whose roots are 1 and 2, and whose leading coefficient is 5.

Answer 1

x = 1 and x = 2

x - 1 = 0     and x - 2 = 0

(x - 1)(x - 2) = 0

x² - 3x + 2 = 0

5(x² - 3x + 2) = 0

5x² - 15x + 10 = 0