Mathematics
The factor common to the two polynomials x2 - 4 and x3 - x2 - 4x + 4
(x + 1)
(x - 1)
(x - 2)
(x - 4)
Factorisation
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Answer
Factorize :
⇒ x2 - 4
⇒ (x - 2)(x + 2)
Factorize :
⇒ x3 - x2 - 4x + 4
⇒ (x3 - x2) - (4x - 4)
⇒ x2(x - 1) - 4(x - 1)
⇒ (x - 1)(x2 - 4)
⇒ (x - 1)(x2 - 22)
⇒ (x - 1)(x - 2)(x + 2).
Common factors between x2 - 4 and x3 - x2 - 4x + 4 = (x - 2) and (x + 2).
Hence, option 3 is the correct option.
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Statement 2: The incenter of a triangle is the point where the bisector of the angles intersects.
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