Question

Factorise : x3 + 13x2 + 32x + 20.​

Answer 1

Answer:

(x+1)(x+2)(x+10)

Step-by-step explanation:

Given, $x^{3}+13x^{2} +32x+20$  

The polynomial can be factorized by using the rational root test.

To apply this test first we need to find at least one rational zero

In this case, one rational zero is x = -1.

This means that we can divide the polynomial $x^{3}+13x^{2} +32x+20$  by (x+1)(the factor theorem).

After dividing we get $x^{2} +2x+20$.

Now factorize this equation.

We get (x+2) and (x+10).