Question

Write a quadratic equation with the given roots. write the equation in the form ax2+bx+c=0 where a,b, and c are integers -1/4 and 8

Answer 1

y = 4x^2 -31x -8

Explanation:

The roots tell you that (x +1/4) and (x -8) will be factors. We can eliminate the fraction by multiplying that factor by 4. Then our polynomial with integer coefficients is ...

(4x +1)(x -8) = 4x^2 -31x -8

As an equation, this could be ...

y = 4x^2 -31x -8