Verify that x=3 is a zero of the polynomial P(x)=2x^3-5x^2-4x+3

1.	Verify that x=3 is a zero of the polynomial P(x)=2x^3-5x^2-4x+3
Answer» Here we have function p(x) = 2x3\xa0- 5x2\xa0- 4x + 3By using remainder theorem, we get{tex}\\therefore{/tex}\xa0p(3) = 2(3)3\xa0- 5\xa0{tex}\\times{/tex}(3)2\xa0- 4\xa0{tex}\\times{/tex}3 + 3= 54 - 45 - 12 + 3 = 0{tex}\\because{/tex}\xa0p(3)\xa0=0Therefore, x = 3 is a zero of p(x).

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