16. If (x+3) is a factor of p(x) = x^ 3+ kx^2 +x+3, then find the value of 'k
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Step-by-step explanation:
x + 3 is factor
Thus, x+3 = 0
x = -3
p(x) = x³+ kx² +x+3
p(-3) = (-3)³+ k(-3)² +(-3)+3= 0
=> -27 + 9k = 0
=> 9k = 27
K= 3
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