1.

2x^3+x^2-3x+5 dividing with 2x-1​

Answer»

Given polynomial 2x  2 −3x+5 is DIVIDED by 2x−3 Then 2x−3=0 or x=  2 3 ​  Replace x by   2 3 ​  we get p(x)=2x  2 −3x+5 p(  2 3 ​ )=2(  2 3 ​ )  2 −3(  2 3 ​ )+5 ⇒p(  2 3 ​ )=  4 18 ​ −  2 9 ​ +5 ⇒p(  2 3 ​ )=  4 18−18+20 ​  ⇒p(  2 3 ​ )=5 THUS REMAINDER is 5 Then the value of polynomial 2x  2 −3x+5 is not zero by polynomial 2x−3 So 2x−3 is not the factor of  polynomial 2x  2 −3x+5



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