Question 369470
Graph it to look for zeros.
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{{{graph(300,300,-4,4,-4,4,0,2x^3-3x^2-11x+6)}}}
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Looks like {{{x=-2}}}, {{{x=3}}}, and {{{x=1/2}}} are zeros of the function.
Verify by plugging those values into the equation and getting a zero.
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{{{2x^3-3x^2-11x+6=2(-2)^3-3(-2)^2-11(-2)+6}}}
{{{2x^3-3x^2-11x+6=2(3)^3-3(3)^2-11(3)+6}}}
{{{2x^3-3x^2-11x+6=2(1/2)^3-3(1/2)^2-11(1/2)+6}}}
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If so then {{{x+2}}}, {{{x-3}}}, and {{{x-1/2}}} are factors of the polynomials.