Question

if x +4 is factor of 3x³ +5x² +Kx+6 then find k​

Answer 1

Step-by-step explanation:

f(x)=x+4

g(x)=3x³+5x²+Kx+6

f(x)=0

x+4=0

x= –4

g(–4)=0

3×(–4)³+5×(–4)²+K (–4)+6=0

3×(–64)+5×(16)–4K+6=0

–192+80–4K+6=0

–106–4K=0

–4K=106

K=106/–4

K= –26•5