document.write( "Question 1087297: Find a polynomial function of degree 3 with 3 and 1 as zeros. \n" ); document.write( "
Algebra.Com's Answer #701561 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! (x-1)(x-3) are two factors. The third can't be complex, because those come in pairs. Therefore, one of the two roots is repeated (a \"bounce\" on the graph). \n" ); document.write( "(x-1)^2(x-3)=(x^2-2x+1)(x-3)=x^3-5x^2+7x-3 \n" ); document.write( "(x-1)(x-3)^2=(x^2-6x+9)(x-1)=x^3-7x^2+3x-9 \n" ); document.write( " |