using factor theorem, factorise each of the following polynomials
1.x^3-3x^2-x+3
2.x^3-5x^2-4x-20
3.x^3-8x^2+x+42
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1.)Taking x= 1..
= (1)³-3(1)²-1+1
= 1-3-1+3
=0
2.) Taking x= 2
=(2)³-5(2)²-4(2)-20
=8+20-8+20
=0.
3.) Taking x= (-2)
=(-2)³-8(-2)²+(-2)+42
= -8-32-2+42
= -42+42
=0.
•Hope it Helps....
= (1)³-3(1)²-1+1
= 1-3-1+3
=0
2.) Taking x= 2
=(2)³-5(2)²-4(2)-20
=8+20-8+20
=0.
3.) Taking x= (-2)
=(-2)³-8(-2)²+(-2)+42
= -8-32-2+42
= -42+42
=0.
•Hope it Helps....
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