Find The Roots (Zeros) F(x)=2x^3+x^2+10x+5 - Mathway

Enter a problem... Algebra Examples Popular Problems Algebra Find the Roots (Zeros) f(x)=2x^3+x^2+10x+5 Step 1Set equal to .Step 2Solve for .Tap for more steps...Step 2.1Factor the left side of the equation.Tap for more steps...Step 2.1.1Factor out the greatest common factor from each group.Tap for more steps...Step 2.1.1.1Group the first two terms and the last two terms.Step 2.1.1.2Factor out the greatest common factor (GCF) from each group.Step 2.1.2Factor the polynomial by factoring out the greatest common factor, .Step 2.2If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .Step 2.3Set equal to and solve for .Tap for more steps...Step 2.3.1Set equal to .Step 2.3.2Solve for .Tap for more steps...Step 2.3.2.1Subtract from both sides of the equation.Step 2.3.2.2Divide each term in by and simplify.Tap for more steps...Step 2.3.2.2.1Divide each term in by .Step 2.3.2.2.2Simplify the left side.Tap for more steps...Step 2.3.2.2.2.1Cancel the common factor of .Tap for more steps...Step 2.3.2.2.2.1.1Cancel the common factor.Step 2.3.2.2.2.1.2Divide by .Step 2.3.2.2.3Simplify the right side.Tap for more steps...Step 2.3.2.2.3.1Move the negative in front of the fraction.Step 2.4Set equal to and solve for .Tap for more steps...Step 2.4.1Set equal to .Step 2.4.2Solve for .Tap for more steps...Step 2.4.2.1Subtract from both sides of the equation.Step 2.4.2.2Take the specified root of both sides of the equation to eliminate the exponent on the left side.Step 2.4.2.3Simplify .Tap for more steps...Step 2.4.2.3.1Rewrite as .Step 2.4.2.3.2Rewrite as .Step 2.4.2.3.3Rewrite as .Step 2.4.2.4The complete solution is the result of both the positive and negative portions of the solution.Tap for more steps...Step 2.4.2.4.1First, use the positive value of the to find the first solution.Step 2.4.2.4.2Next, use the negative value of the to find the second solution.Step 2.4.2.4.3The complete solution is the result of both the positive and negative portions of the solution.Step 2.5The final solution is all the values that make true.Step 3

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