Question

Select the quadratic that has roots x = 8 and x = -5.

A
x2 + 3x - 40
B
x² – 3x – 40
C
x? + 13x + 40
D
x? - 13x + 40

Answer 1

`\text{ The roots are}~ \alpha = 8~ \text{and}~ \beta = -5\\\\\text{Equation for the given roots,}\\\\x^2 -(\alpha +\beta )x +\alpha \beta = 0\\\\\implies x^2 -(8-5)x + 8(-5)=0\\\\\implies x^2 -3x -40=0\\\\\text{Hence, the answer is option B}`