Question

check whether (x-2) is a factor of x3-2x2_5x+4

Answer 1

to check Whether this is factor of polynomial or not... directly put it =0and then put in polynomial
$(x - 2) = 0 \\ x = 2 \\ {x}^{3} - 2 {x}^{2} - 5x + 4 \\ {2}^{3} - 2( {2}^{2} ) - 5(2) + 4 \\ 8 - 8 - 10 + 4 \\ = - 6..not \: equal \: to \: zero$
hence (x-2) is not factor of polynomial
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