1)If all the roots (zeros) of the polynomial f(x)=x^5+ax^4+bx^3+cx^2+dx-420 are integers larger than 1, then f(4)=? 2)Consider the two functions f(x) =x^2+2bx+1 and g(x)=2a(x+b), where the variable x and the constants a and b are real numbers. Each such pair of the constants a and b may be considered as a point (a,b) in an ab - plane.Let S be the set of such points (a,b) for which the graphs of y=f(x) and y=g(x) do not intersect (in the xy- plane). The area of S =? 3)if the equation 2x^2 +4xy + 7y^2-12x-2y+t=0 where “t’ is a parameter has exactly one real solution of the form (x,y).Then the sum of (x+y) =?
1)If all the roots (zeros) of the polynomial f(x)=x^5+ax^4+bx^3+cx^2+dx-420 are integers larger than 1, then f(4)=?
2)Consider the two functions f(x) =x^2+2bx+1 and g(x)=2a(x+b), where the variable x and the constants a and b are real numbers. Each such pair of the constants a and b may be considered as a point (a,b) in an ab - plane.Let S be the set of such points (a,b) for which the graphs of y=f(x) and y=g(x) do not intersect (in the xy- plane). The area of S =?
3)if the equation 2x^2 +4xy + 7y^2-12x-2y+t=0 where “t’ is a parameter has exactly one real solution of the form (x,y).Then the sum of (x+y) =?
PRAMAY , 11 Years ago
Grade 11
