Show that 2x+1 is a factor of polynomial 2(x^3)+(x^2)-6x-3. Hence factorise the polynomial
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2x+1=0
or,x=_1/2
put x=_1/2 in the given polynomial
p(x)=2x^3+x^2_6x_3
p(_1/2)=2× (_1/2)^3+ (_1/2)^2_ 6×_1/2 _3
=_1/4 +1/4 +3 _3=0
so 2x +1 is a factor of p(x).
or,x=_1/2
put x=_1/2 in the given polynomial
p(x)=2x^3+x^2_6x_3
p(_1/2)=2× (_1/2)^3+ (_1/2)^2_ 6×_1/2 _3
=_1/4 +1/4 +3 _3=0
so 2x +1 is a factor of p(x).
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It so easy see if 2x +1 is a factor of the given equation 2x^3+x^2-6x-3 than 2x+1 will divide the following equation
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