Question

16. For what value of k; (x+5) is a
factor of p(x)= -x3 +X +3k ?


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Answer 1

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Answer 2

$\huge{\bold☘}\mathfrak\pink{\bold{\underline{{ ℘ɧεŋσɱεŋศɭ}}}}{\bold☘}$

$\huge\tt\red{\bold{\underline{\underline{❥Question᎓}}}}$16. For what value of k; (x+5) is a factor of p(x)= -x3 +X +3k ?

$\huge\tt{\boxed{\overbrace{\underbrace{\blue{Answer</p><p> }}}}}$

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If (x+5) is a factor then value of x be -5

put the X's value in above equation:-

$⟹- {x}^{3} + x + 3 k = 0$

$⟹ - {( - 5)}^{3} + ( - 5) + 3k = 0$

$⟹ - ( - 125) - 5 + 3k = 0$

$⟹125 - 5 + 3k = 0$

$⟹120 + 3k = 0$

$⟹3k = - 120$

$⟹k = - \frac{120}{3} = - 40$

${\boxed{\red{k = - 40}}}$

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