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3 years ago

PLEASE HELP IM FAILING ALGEBRA!! (SHOW WORK)

Mathematics

1 answer:

yanalaym [24]3 years ago

8 0

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

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