# Find the Roots (Zeros) y equals x to the power of three minus five x to the power of two plus nine x minus forty-five

Set equal to .

The left part of the equation should be factored.

Take the greatest common factor from each group out of the brackets.

Put together the Initially two terms and the last two terms.

Factor out the greatest common factor (GCF) from each group.

Factor the polynomial by factoring out the greatest common factor, .

In case any individual factor in the left part of the equation equals , the entire expression will be equal to .

Make the initial factor equal to and solve.

Set the first factor equal to .

Add to both sides of the equation.

Make the following factor equal to and solve.

Set the Then factor equal to .

Subtract from both sides of the equation.

To reduce the exponent on the left, square the roots of both sides of the equation.

The total solution is the sum of the solution's positive and negative components.

Clarify the right side of the equation.

Should be rewritten as .

Rewrite as .

Rewrite as .

Rewrite as .

Withdraw terms from under the radical, assuming positive real numbers.

Put to the left of .

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the to find the first solution.

Then, use the negative value of the To calculate the second answer.

The complete solution is the result of both the positive and negative portions of the solution.

The final solution is all the values that make true.

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