check whether 1,-1 and 1/4 are zeroes of the polynomial p(x)=4 x2+3x-1
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1
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take p(x)=1
4x2 + 3x -1
4×(1)2+3×(1)-1
4+3-1
7-1
6
p(x) =1 is not the solution of this equation
take p(x)= -1
4x2+3x-1
4(-1)2+3(-1)-1
4-3-1
4-4
0
p(x)= -1 is the solution of this equation
take p(x)=1/4
4x2+3x-1
4(1/4)2+3(1/4)-1
4×1/16+3/4-1
1/4+3/4-1
take L.C.M. of 4, 4 , and 1=4
1+3-4/4=4-4/4 =0/4=0
p(x)=1/4 is also the solution of this equation.
Explanation:
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