Question

for what value of k , (x+5) is a factor of p (x) = -x^3 +x+3k​

Answer 1

hence the answer is K equal to 43.3333333333...... I hope it will help you by the picture I have solve it step by step thank you

Answer 2

Hey mate! ✨

$let \: p(x) = - {x}^{3} +x + 3k \\ x + 5 = 0 \\ x = - \: 5 \\ putting \: the \: value \: of \: x = - 5 \\ p( - 5) = ( { - 5}^{3} ) \: + ( - 5) + 3k \\ p( - 5) = - 125 - 5 + 3k = 0 \: \: \: (for \: finding \: k) \\ p( - 5) = - 130 + 3k = 0 \\ p( - 5) = 3k = 130 \\ k = \frac{130}{3} \\ k = 43.33$

hope it helps you