If both ` (x-2) and (x - (1)/(2))` are fractors of `p x ^(2)+ 5x +r,` then show that p=r.

If 2 is a root of x^(2) + 5x + r = 0 then r = …

p(x) = 2x+1 then p(-1//2) =

p(x) = x^(2) + 5x + 6 then zeros of p(x) = …………..

If the coefficient of r^(th) ,( r +1)^(th) " and " (r +2)^(th) terms in the expansion of (1+x)^n are in A.P then show that n^2 - (4r +1)n + 4r^2 - 2 =0

If the coefficients of r^("th"),(r+1)^("th") and (r+2)^("nd") terms in the expansion of (1+x)^(n) are in A.P. then show that n^(2)-(4r+1)n+4r^(2)-2=0.

If p(x) = x^2+5x+4 then p(- 4) =

Given that roots of x^3+3px^2+3qx+r=0 are in G.P. show that p^3 r=q^3