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I'm working on a math problem but am having a hard time figuring out the method used by my textbook to make this factorization. $$ x^4 + 10x^3 + 39x^2 + 70x + 50 = (x^2 + 4x + 5)(x^2 + 6x + 10) $$ I've tried to see if this equation can be factored by grouping or by long division to no avail. Any help would be greatly appreciated.

I'm working on a math problem but I am having a hard time figuring out the method used by my textbook to make this factorization:

$$x^4 + 10x^3 + 39x^2 + 70x + 50 = (x^2 + 4x + 5)(x^2 + 6x + 10)$$

I've tried to see if this equation can be factored by grouping or by long division to no avail. Any help would be greatly appreciated.

I'm working on a math problem but am having a hard time figuring out the method used by my textbook to make this factorization.

x^4 + 10x^3 + 39x^2 + 70x + 50 = (x^2 + 4x + 5)(x^2 + 6x + 10)

I've tried to see if this equation can be factored by grouping or by long division to no avail. Any help would be greatly appreciated.

I'm working on a math problem but am having a hard time figuring out the method used by my textbook to make this factorization. $$ x^4 + 10x^3 + 39x^2 + 70x + 50 = (x^2 + 4x + 5)(x^2 + 6x + 10) $$ I've tried to see if this equation can be factored by grouping or by long division to no avail. Any help would be greatly appreciated.