Phân tích đa thức thành nhân tử

To factor the expression, we can first look for any common factors. In this case, there are no common factors among the terms.

Next, we can try to factor by grouping. We can group the terms as follows:

(x^4 + 10x^3) + (9x^2 + 10)

Now, we can factor out the greatest common factor from each group:

x^3(x + 10) + 10(9x^2 + 10)

Next, we can factor out the greatest common factor from the second group:

x^3(x + 10) + 10(9x^2 + 10) = x^3(x + 10) + 10(9x^2 + 10)

Now, we can factor out a common factor of 10 from the second group:

x^3(x + 10) + 10(9x^2 + 10) = x^3(x + 10) + 10(9x^2 + 10) = x^3(x + 10) + 10(9x^2 + 10)

Finally, we can factor out a common factor of (x + 10) from both terms:

x^3(x + 10) + 10(9x^2 + 10) = (x + 10)(x^3 + 10(9x^2 + 10))

Therefore, the factored form of the expression x^4 + 10x^3 + 9x^2 + 10 is (x + 10)(x^3 + 10(9x^2 + 10)).