X ^ 3 + 6x ^ 3 + 11x + 6,

X ^ 3 + 6x ^ 3 + 11x + 6,


X^3+6X^2+11X+6
=(X^3+X^2)+(5X^2+5X)+(6X+6)
=X^2(X+1)+5X(X+1)+6(X+1)
=(X+1)(X^2+5X+6)
=(X+1)(X+2)(X+3)



x^5-x^4-11x^3+11x^2+18x-18=


x^5-x^4-11x^3+11x^2+18x-18
=x^4(x-1)-11x^2(x-1)+18(x-1)
=(x-1)(x^4-11x^2+18)
=(x-1)(x^2-9)(x^2-2)
=(x-1) (x + 3) (x-3) (x ^ 2-2) (within the range of rational numbers)
=(x-1) (x + 3) (x-3) (x + √ 2) (x - √ 2) (within the range of real numbers)



What is the root of equation 5x + 11x + 7?
X means "X"


Rootless

Elden Ring Premiere

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