If x-3 is a factor of (i) x²+kx+2 (ii) 2x? - kx - 5Find the value of

1.	If x-3 is a factor of (i) x²+kx+2 (ii) 2x? - kx - 5Find the value of k in each case.
Answer» $\large { \underline{ \bf \red{Question:- }}}$ If x-3 is a factor of (i) x²+KX+2 (ii) 2X? - kx - 5 Find the value of K in each case. $\large { \underline{ \bf \purple{Solution:- }}}$ $Let p(x)=x3+kx2−2x+k4$ $As x+k \: is \: a \: factor$ $Therefore, \: p(−k)=0$ $p(−k) \\ =−k3+k3+2k+k+4 \\ ⇒3k+4$ $As 3k+4=0$ $\large { \underline{ \bf \pink{Therefore:- }}}$ $∴ \: k = \frac{ - 4}{3}$