Select the quadratic that has roots x = 8 and x = -5.
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A x^2 + 3x - 40
B x^2 - 3x - 40
C x^2 + 13x + 40
D x^2 - 13x + 40
To find the quadratic equation with roots x = 8 and x = -5, we can start by setting up the factors based on the roots:
For the root x = 8, we have the factor: (x - 8)
For the root x = -5, we have the factor: (x + 5)
Putting these together gives us: (x - 8)(x + 5)
Expanding this gives: x^2 + 5x - 8x - 40
Combining like terms gives the quadratic equation: x^2 - 3x - 40
Therefore, the quadratic equation with roots x = 8 and x = -5 is: B) x^2 - 3x - 40.