Lauren and Michael were working on the same math problem, identify which student is incorrect and explain the error.
lauren Michael
solve:x^2+x-2=0
x^2+2x-x-2=0
x(x+2)-1(x+2)=0
(x-1)(x+2)=0
x=-1 or x=2
solve:x^2+x-2=0
x^2+2x-x-2=0
x(x+2)-1(x+2)=0
(x-1)(x+2)=0
x=1 or x- -2
Michael is incorrect.
Error: In the third line of Michael's work, he distributed -1 incorrectly when trying to factor out x-1 from x(x+2) - 1(x+2). This error led to the mistake in the final answer. The correct factorization should have produced (x-1)(x+2)=0 instead of (x-1)(x+2)=0.