Show that 3 is a zero of polynomial 2x^3-x^2-13x-6. Find all the zero of the polynomial
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Putting 3 in the polynomial we get:
E=2(3)³-(3)²-13(3)-6
E=2×27-9-39-6
E=54-48-6
E=0.
Factorising,
2x³-x²-13x-6= (x-3)(2x²+5x+2)=0
Solving the quadratic:
(x-3)(2x+1)(x+2)=0.
Hence, the zeroes of the polynomial are:
3,-1/2,-2.
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