Examine whether x-1 is a factor of the following polynomials (i)2x^3-5x^2+x+2 (ii) 4x^3+5x^2-3x+6
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To check whether x-1 is factor of the given polynomial
(1) 2x^3-5x^2+x+2
by putting x=1
the expression will be 2-5+1+2=0
hence x-1 is factor of polynomial
(ii) for second polynomial 4x^3+5x^2-3x+6
at x=1
4+5-3+6 is not zero.
Hence x-1 is not a factor of polynomial.
Step-by-step explanation:
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