Question

PLEASE HELP IM FAILING ALGEBRA!! (SHOW WORK)

Answer 1

Answer:

The three dimensions are ( x-3)(x-1) and (x-4)

The missing dimension is x-4

Step-by-step explanation:

Step(i):-

Given that the polynomial

            x³ -8x²+19x -12=0

put x=3

 ⇒      27 -8(9)+19(3)-12 =0

          84-84 =0

            0=0

∴ x =3 is satisfies the given polynomial equation

one factor  x-3 =0

Step(ii):-

By using synthetic division method

     x=3     ↓     1    -8    19    -12

                ↓     0   3    -15     12

                      1   - 5      4       0  

The polynomial (x-3) ( x² -5x +4) =0

The factors of the given polynomial

             x-3 =0  and      x² - 5x +4 =0

                x =3   and   x² - 4x -x+4 =0        

                x =3   and  x( x-4) -1(x-4) =0

              ( x-3)    and (x-1)(x-4) =0

The three dimensions are ( x-3)(x-1) and (x-4)

Final answer:-

The missing dimension is x-4