Use synthetic division and the given factor to completely factor the polynomial. x^3-x^2-24x-36; (x-6)

Step-by-step explanation:

Given : ; (x-6)

To find : The complete factors of the polynomial using synthetic division.

Solution : To use synthetic division, start with the coefficients of the original polynomial, then put the 6 below it and off to the side:  

Now drop down the first 1, multiply it by the 6 and place it under the -1, then add the results. Then continue until the end. If you get 0, then (x - 6) is a factor and the numbers you end up with (minus the zero) are the coefficients of the quotient polynomial:

6 I 1______-1_______-24_____-36  

_ I 1______6_______ 30______36  

_ I 1______5_______ 6_______0  

Therefore, the resultant is

Factor of by middle term split

So, The complete factors are

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