Write the equation of a quadratic whose roots are -3/7 and 2/5. ( Answer without Fractions)

Question

 Write the equation of a quadratic whose roots are -3/7 and 2/5. ( Answer without Fractions)

Answer 1

To get the simplest quadratic, start with factors containing the zeroes.

 

[x - (-3/7)] (x - 2/5) = (x + 3/7)(x - 2/5) = 0

 

To remove the fractions, multiply both sides of the equation by 7x5, distributing the 7 through the first factor and the 5 through the second factor, and simplify.

 

[7(x + 3/7)] [5(x - 2/5)] = 0

 

(7x + 3)(5x - 2) = 0