find whether 2 x minus 3 is a zero of the polynomial 2x cube - 9 X square + X + 12
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2x-3=0
=x=3/2
=2(3/2)cube-9(3/2)square+3/2+12
=2(27/8)-9(9/4)+3/2+12
=54/8-81/4+3/2+12
=(54-162+12+98)/8
=(-108+12+96)/8
/(-108+108)/8
=0/8
=0
yes.
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