" 3."x^(2)+20x-69

factorize : x^2+20x-69

If (x ^(2) +x+1) + (x^(2) + 2x +3) + (x^(2) + 3x +5) + ….. + (x ^(2) + 20x + 39) =4500, then x is equal to :

If (x ^(2) +x+1) + (x^(2) + 2x +3) + (x^(2) + 3x +5) + ….. + (x ^(2) + 20x + 39) =4500, then x is equal to :

The remainder obtained when 80x^(3) + 55x^(2) + 20x + 172 is divided by x +2 is _____

Show that the function f(x)=(2)/(3)x^(3)-6x^(2)+20x-5 has neither a maximum nor a minimum value.

Using factor theorem, examine whether g(x) is a factor of f(x) of the following polynomials or not : f(x)=4x^(3)+x^(2)-20x-7andg(x)=3x+2

Total number of positive integers x for which f(x)=x^(3)-8x^(2)+20x-13 is a prime number,is 1( b) 2(c)3 (d) 4