1.) Find a polynomial of degree that has zeros 1, -1 and 1/2 and whose leading coefficient is 3. 2.) Find the value of k such that x+3 is a product of P(x) = x^2 - 10kx + 6

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My answer for no. 1 is \[3x^3 -( 3x^2/2) - 3x + (3/2)\] but my teacher said there should be no fractions

then multiply all the terms by 2(the denominator) to get rid of the fraction

but the leading coefficient will not be 3???

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