Factor the polynomial completely. Use synthetic division.

F(x) = x^3-7x-6

Answer:

The factors of given polynomial    x =-1 , -2 and x =3

Step-by-step explanation:

Step(i):-

Given the polynomial  

                    f(x) =  x³ - 7x -6

 put x =-1

               f(-1) = (-1 )³- 7(-1) - 6 = -1+7-6=0

(x+1) is a one factor

By using synthetic division

                   x³    x²      x      constant

     x=-1  ↓   1      0      -7        -6

             ↓   0     -1      1          6

                  1       -1      -6       0    

The polynomial    x² - x - 6

Step(ii):-

The factors ( x+1)(x² - x - 6 ) = 0

     x = -1 and x² - x - 6 =0

    x =-1    and  x² - 3x + 2 x - 6 =0

   x =-1     and  x (x -3) + 2( x-3) =0

   x =-1     and  (x+2)(x-3) =0

Final answer:-

The factors of given polynomial    x =-1 , -2 and x =3

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It'll be a life saver if you guys can actually help me with this problem.. Please.
There are 500 cars in Frank's junkyard; 350 blue and 150 red. If Joe randomly selects 25 cars from his yard, what's the probability he'll get from 14 to 20 blue cars, inclusive? Could this be considered an almost binomial event?
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