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

Question

Mathematics

Danna Orr

12 August, 17:33

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

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Answers (1)

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Ellis · Answer 1

y = 4x^2 - 31x - 8

Step-by-step 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