H.C.F of x2 + 3x + 2 and x2 - 2x - 3 is :
(x + 1)
(x + 1)(x + 2)(x - 3)
1
none of these
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Given, x2 + 3x + 2 and x2 - 2x - 3
The factors of x2 + 3x + 2
⇒ x2 + 2x + x + 2
⇒ x(x + 2) + 1(x + 2)
⇒ (x + 2)(x + 1)
The factors of x2 - 2x - 3
⇒ x2 - 3x + x - 3
⇒ x(x - 3) + 1(x - 3)
⇒ (x - 3)(x + 1)
H.C.F. = (x + 1)
Hence, option 1 is the correct option.
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L.C.M. of x2 + 3x + 2 and x2 - 2x - 3 in simplest form is:
(x + 1)2(x + 2)(x + 3)
(x2 + 3x + 2)(x2 - 2x - 3)
(3a - 1)2 - 6a + 2 is equal to:
(3a - 1)(a - 1)
3(3a - 1)(a - 1)
(3a - 1)(a + 1)
3(3a - 1)(a + 1)