The values are [tex]b=-20\text{ and }c=101[/tex]
The quadratic function, expressed in factored form is
[tex](x-(10+i))(x-(10-i))=g(x)[/tex]
Expanding and simplifying
[tex]g(x)=(x-(10+i))(x-(10-i))\\=x^2-x(10-i)-x(10+i)+(10+i)(10-i)\\=x^2-10x+xi-10x-xi+100-i^2\\=x^2-10x-10x+100+1\\=x^2-20x+101[/tex]
since
[tex]g(x)=ax^2+bx+c=x^2-20x+101[/tex]
we can equate coefficients of like-terms and conclude that
[tex]a=1,b=-20,c=101[/tex]
Learn more about quadratic equations here: https://brainly.com/question/12995618
