Question

Find whether 2a3+a2-5a+2 is divisible completely by2a+3 or not

Answer 1

no it's not divisible

Answer 2

let p(a)= 2a^3+a^2-5a+2
2a+3=0
2a= -3
a= -3/2
p(-3/2)= 2*(-3/2)^3+(-3/2)^2-5*-3/2+3
= 2*-27/8+9/4+15/2+2
= -27/4+9/4+15/2+2
= -27+9+30+8 divided by 4
= 20/4
= 5
therefore 2a^3+a^2-5a+3 is not completely divisible by 2a+3
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