when the polynomial 2x³-3x²+ax-5 is divided by 2x-3, the remainder is 7. find the value of 'a'.
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Step-by-step explanation:
2x-3=0
2x=3
x =3/2
P(x)=2x^3-3x^2+ax-5
P(3/2)=2(3/2)^3-3(3/2)^2+a(3/2)-5
=9/2-27/4+a(3/2)-5
=-9/4+a(3/2)-5
=-11/4+a(3/2)
a=-17/4
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1
Step-by-step explanation:
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