1) x^2-20x-21;
sqrt(d)=sqrt(400+21*4)=22;
x1=(20+22)/2=21;
x2=(20-22)/2=-1;
(x-21)(x+1)=x^2-20x-21
2) 3x^2+x-10;
sqrt(d)=sqrt(1+10*3*4)=11;
x1=(-1+11)/3=10/3;
x2=(-1-11)/3=-4;
3x^2+x-10=3(x-10/3)(x+4)=(3x-10)(x+4)
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Answers & Comments
1) x^2-20x-21;
sqrt(d)=sqrt(400+21*4)=22;
x1=(20+22)/2=21;
x2=(20-22)/2=-1;
(x-21)(x+1)=x^2-20x-21
2) 3x^2+x-10;
sqrt(d)=sqrt(1+10*3*4)=11;
x1=(-1+11)/3=10/3;
x2=(-1-11)/3=-4;
3x^2+x-10=3(x-10/3)(x+4)=(3x-10)(x+4)