Question

factorise xcube + 13xsq +32 x+20​

Answer 1

Hope this will help you

Answer 2

Answer:

I hope it may help u friend  ^_^

Step-by-step explanation:

To factorize : x³ + 13 x² + 32 x + 20

Using the hidden trial method  ,  

Let p(x) = x³ + 13 x² + 32 x + 20

On putting x = -1 in p(x) , we get ,

→(-1)³ + 13 (-1)² + 32(-1) + 20

→-1 + 13 - 32 + 20

→-33 + 33

→0  

so , (x + 1) is a factor p(x) .

Then , using long division method , we get

→ x² + 12 x + 20

Now , factorizing  it by splitting middle term .

→ x² + 12 x + 20

→ x² + (2 + 10)x + 20

→ x² + 2 x + 10 x + 20

→ x( x + 2 ) + 10 ( x + 2 )

→ (x + 2 ) ( x + 10 )

Thus , (x + 1 ) , ( x + 2 ) and ( x + 10 ) are all the factors of p (x) .