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ercise - 2If p(x) x+3x - 5x+8 is divided by the following. then find the remainderwith the help of reminder theorem.0 *+1 (1) 27-1 (i)*+2 (iv) 2-4 W x+ |
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Answer» p(x)=x^3+3(x)^2-5(x)+8; x=-1/3 ; p(-1/3)=(-1/3)^3-3(-1/3)-5(-1/3)+8=(-1/27)+1+(5/3)+8= -1+27+45+72/27= 26+45+72/27=144/27=5.3e x^3+3x^2-5x+6,; x=1/2; (1/2)^3+3(1/2)^2-5(1/2)+6= 1/8+3/4-5/2+6=1+6-20+48/8=7-20+48/8=7+28/8=35/8 x^3+3x^2-5x+8when x+1=0 , x= -1(-1)^3+(-1)^2-5(-1)+8= -1+1+5+8=13 not equal to 0when 2x-1=0 , x= 1/2(1/2)^3+3(1/2)-5(1/2)+8= 1/8+3/4-5/2+8= 1+3-5+64/868-5/8 not equal to 0when x+2=0, x= -2(-2)^3+3(-2)^2-5(-2)+8= -8+12+10+8=38not equal to 0it means option D is right
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