Problem

Find the equation of a polynomial given the roots are 2, 3, and 1.

Answer

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Answer

Finally, we expand the expression further to get the polynomial: (x2+x6)(x1)=x3x27x+6.

Steps

Step 1 :Given the roots, we can express the polynomial as (x2)(x+3)(x1).

Step 2 :Next we expand the expression: (x2)(x+3)(x1)=(x2+x6)(x1).

Step 3 :Finally, we expand the expression further to get the polynomial: (x2+x6)(x1)=x3x27x+6.

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