Answer
$x^4-6x^3-9x^2-37x-10$
Work Step by Step
$(x^2+x+5)(x^2-7x-2)=x^2(x^2)+x^2(-7x)+x^2(-2)+x(x^2)+x(-7x)+x(-2)+5(x^2)+5(-7x)+5(-2)=x^4-7x^3-2x^2+x^3-7x^2-2x+5x^2-35x-10=x^4+(-7+1)x^3+(-2-7)x^2+(-2-35)x-10=x^4-6x^3-9x^2-37x-10$
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