Math, asked by BrainlyPopularStar01, 21 hours ago

Factorise x3 - x2 - 4x + 4 using factor theorem.

please help me with this question​

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Answers

Answered by renukamadhuriji
1

Answer:

(−1)(+1)(3−1) ok it's your answer

Answered by Anonymous
12

Step-by-step explanation:

Solution-:

→⚘✯

Given expression is -:✅

  • →x3 - x2 - 4x + 4

✯☞ We have to Factorise-:

→✯We see that for x=1,The expression will be and hence,

x - 1

  • ✯☞is a factor of the given expression

Now,x³-x²-4x+4

  • ✯☞=x³-x²-4n+4
  • ✯☞=x²(x-1) -4(x-1)
  • ✯☞=(x-1) (x²-4)=(x-1) (x+2) (x-2)

Hence, we finally get (x-1) (x+2) (x-2)

=x³-x²-4n+4 \\ =x²(x-1) -4(x-1) \\ =(x-1) (x²-4)=(x-1) (x+2) (x-2)

Required answer:- ✅

  • (x-1) (x+2) (x-2). \\ ⚘

  • Hope it helps you mate:)
  • #Be brainly

☺️

  • Note-:Sorry if incorrect
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