Obtain all other zeroes of the polynomial 4x 4 +x 3 -72x 2 -18x,if two of its zeroes are 3 root 2 and -3 root 2
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4x 4 +x 3 -72x 2 -18x=x(4x^3 +x^2 -72x -18) =0
hence x=0 is a root
dividing by x^2-18 we get 4x+1 hence x=-1/4 is also a root
Note
x^2-18 is factor of the original equation because +3√2 and -3√2 are roots
hence x=0 is a root
dividing by x^2-18 we get 4x+1 hence x=-1/4 is also a root
Note
x^2-18 is factor of the original equation because +3√2 and -3√2 are roots
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