Question 911297
{{{(x^3-x^2-5x-2)(x^4+x^3+kx^2-5x+2)=(x^3-x^2-5x-2)(x^4)+(x^3-x^2-5x-2)(x^3)+(x^3-x^2-5x-2)(kx^2)+(x^3-x^2-5x-2)(-5x+2)+(x^3-x^2-5x-2)(2)}}}
{{{(x^3-x^2-5x-2)(x^4+x^3+kx^2-5x+2)=(x^7-x^6-5x^5-2x^4)+(x^6-x^5-5x^4-2x^3)+(kx^5-kx^4-5kx^3-2kx^2)+(-5x^4+5x^3+25x^2+10x)+(2x^3-2x^2-10x-4)}}}
{{{(x^3-x^2-5x-2)(x^4+x^3+kx^2-5x+2)=x^7+(-5-1+k)x^5+(-2-5-k-5)x^4+(-2-5k+5+2)x^3+(-2+25-2)x^2-4}}}
{{{(x^3-x^2-5x-2)(x^4+x^3+kx^2-5x+2)=x^7+(-6+k)x^5+(-12-k)x^4+(5-5k)x^3+(19)x^2-4}}}
Now match terms.
{{{-6+k=-4}}}
{{{k=2}}}