Answer:
Step-by-step explanation:
We are given that a polynomial
Factor :
We have to factorize the given polynomial completely.
Substitute x-6=0
In synthetic division, we write coefficient of each term.
Then , first term write down as it and then multiply 6 by 1 and write the result below to -1.
Now, adding -1 and 6 and get the result 5 and write down in below row
Then, multiply 6 by 5 and then the result write below to -24 and adding and the getting result write below.
Now, multiply 6 by 6 and then write the result below to -36 and add with -36 and getting result 0 and write below.
After synthetic division, we get
Substitute x=-2
Hence, x+2 is a factor of
Again using synthetic division ,we get
Hence, the factor form of given polynomial is given by