Use synthetic division and the given factor to completely factor the polynomial. x^3-x^2-24x-36; (x-6) solve asap ! ill give brainliest

;; the question gives you  to use to factor the polynomial, so perform synthetic division using , since  is used to find , the number you should use to find the quotient. This would result in , which can be factored using , when , or you can factor using the  method. If you used synthetic division to factor this, it would result in , which would also be included in the factored form of , so the answer is .

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

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