Question

x^3+2x^2+5x+10
factorize it ( RD SHARMA class 9 EXERCISE 3A)


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Answer 1

Given Quadratic equation → x³ + 2x² + 5x + 10

Step-by-step explanation:

In the first 2 terms x³ and 2x², x² can be taken out as common. So,

x²(x + 2) + 5x + 10

Now in (5x + 10), 5 can be taken out as common factor. So, now the polynomial becomes

x² (x + 2) + 5 (x + 2)

We can observe that (x + 2) is common in the above expression.

(x² + 5) (x + 2)

Final answer:

So, the factorized polynomial is (x² + 5) (x + 2)