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Mathematics 8 Online
OpenStudy (theviper):

Plz help:)

OpenStudy (theviper):

How to find G.C.D. of \[x^3-x^2-4-6\]&\[ x^2-2x-3\]

OpenStudy (theviper):

@lgbasallote plz help:)

OpenStudy (theviper):

G.C.D.=??

OpenStudy (campbell_st):

factorise the quadratic (x - 3)(x +1) = 0 then x = 3 , -1 use the factor theorem for the cubic

OpenStudy (campbell_st):

are you sure its x^3 - x^2 - 4 - 6

OpenStudy (theviper):

Yeah! @campbell_st

OpenStudy (theviper):

4x*

OpenStudy (campbell_st):

so its actually x^3 - x^2 - 10

OpenStudy (theviper):

sorry @campbell_st it's\[x^3-x^2-4x-6\]lol

OpenStudy (theviper):

full form of G.C.D.

OpenStudy (theviper):

???

OpenStudy (campbell_st):

ok... using the factor theorem P(3) = (3)^3 - (3)^2 - 4(3) - 6 = 27 - 9 - 12 - 6 P(3) = 0 therefore (x - 3) is a factor of x^3 - 3x^2 - 4x - 6 so the GCD = ( x - 3)

OpenStudy (theviper):

yes k! thanx:)

OpenStudy (theviper):

Wht is th full form of GCD

OpenStudy (theviper):

Greatest Common Divisor??

OpenStudy (campbell_st):

its \[x^3 - x^2 -4x - 6 = (x -3)(x^2 + 2x + 2)\] and \[x^2 - 2x -3 = (x -3)(x +1)\]

OpenStudy (theviper):

k thanx:)

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