the equation x^2+bx+c=0 has roots -5 and 7. find the value of b and the value of c.
"x^2+bx+c=(x+5)(x-7)."
"x^2+bx+c=x^2+(5-7)x-5*7."
"x^2+bx+c=x^2-2x-35."
"b=-2, \\;c=-35."
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