Write the quadratic equation whose roots are 1 and -2, and whose leading coefficient is 2.
(Use the letter x to represent the variable.)
If roots are 1 and -2 then the two factors are:
(x - 1) (x + 2)
x^2 + 2x - 1x - 2 (used FOIL)
x^2 + x - 2 (combine terms)
Now, add leading coefficient is 2
2x^2 + x - 2
y = 2x^2 + x - 2
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