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Zeros :
[tex]x = - 2[/tex]
[tex]x = 4[/tex]
[tex]x = 7[/tex]
Thus ;
[tex]x + 2 = 0[/tex]
[tex]x - 4 = 0[/tex]
[tex]x - 7 = 0[/tex]
Multiply above equations :
[tex](x + 2)(x - 4)(x - 7) = 0[/tex]
Expand
[tex]( {x}^{2} - 2x - 8)(x - 7) = 0[/tex]
[tex] {x}^{3} - 7 {x}^{2} - 2 {x}^{2} + 14x - 8x + 56 = 0 \\ [/tex]
[tex] {x}^{3} - 9 {x}^{2} + 6x + 56 = 0[/tex]
[tex]y = f(x) = {x}^{3} - 9 {x}^{2} + 6x + 56 \\ [/tex]
Done...
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