Question

x³+x+2 Factorise it!​

Answer 1

Answer:

Do this questions by reminder theorem

First of all find it factor

And divide this polynomial by factor which u find......

Answer 2

$\boxed{\bold{\ \ \ \ \ \ \ \ \ \ \ \ \ \ x^3+x+2=(x+1)(x+\frac{\iota(\iota+\sqrt{7})}{2})(x+\frac{\iota(\iota-\sqrt{7})}{2}) \ \ \ \ \ \ \ \ \ \ \ \ \ \ }}$

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$x^3+x+2 \\ \\ x^3+x^2-x^2-x+2x+2 \\ \\ x^2(x+1)-x(x+1)+2(x+1) \\ \\ (x+1)(x^2-x+2) \\ \\ (x+1)(x^2+\frac{\iota(\iota+\sqrt{7})}{2}x+\frac{\iota(\iota-\sqrt{7})}{2}x+2) \\ \\ (x+1)(x(x+\frac{\iota(\iota+\sqrt{7})}{2})+\frac{\iota(\iota-\sqrt{7})}{2}(x+\frac{\iota(\iota+\sqrt{7})}{2})) \\ \\ (x+1)(x+\frac{\iota(\iota+\sqrt{7})}{2})(x+\frac{\iota(\iota-\sqrt{7})}{2})$

$Where \ \iota=\sqrt{-1}$