F(x)=x^3+x^2-42x Roots Solve for x over the real numbers x³+x²-42x=0 Factor the left-hand side The left-hand side factors into a product with three terms x(x-6)(x+7)=0 Find the roots of each term separately Split into three equations x-6=0 x=0 x+7=0 Look at the first equation and solve for x Add 6 to both sides x=6 x=0 x+7=0 Look at the third equation and solve for x Subtract 7 from both sides Answer: x=6 x=0 x=-7
