Question

find k so that x+3 is a factor of -x^3-3x^2+2x+k

Answer 1

Heya

If (x+3) is the factor;

then..

x= -3

$- x {}^{3} - 3x {}^{2} + 2x + k = 0 \\ - ( - 3) {}^{3} - 3( - 3) {}^{2} + 2( - 3) + k = 0 \\ 27 - 3(9) - 6 + k = 0 \\ 27 - 27 - 6 + k = 0 \\ k = 6$

Hope it helps you

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