without long division method check whethet p(x)= 2x^3-5x^2 + 7x+12 divided by x-3/2
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Step-by-step explanation:
using remainder theorem,
sub x=3/2 in the given polynomial.
p (3/2) = 2 (3/2)³ - 5 (3/2)² + 7 (3/2) + 12
= 2 (27/8) - 5 (9/4) + (21/2) + 12
= (27/4) - (45/4) + (21/2) + 12
= (18/4) + (21/2) + 12
= (36+84)/8 + 12
= (120/8) + 12
= 15 + 12
= 27
p (3/2) is not equal to 0. so the given polynomial can not divided by x-3/2
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