Learning to Find the Solution of a Polynomial to the 5th Power by Factoring

The video tutorial covers the process of solving an algebraic equation by factoring. It begins with setting up the equation and identifying common terms to factor out. The instructor explains the technique of factoring and demonstrates how to solve the equation by setting each factor to zero. The tutorial concludes with a summary of the solution and final remarks.

What is the first step in solving the polynomial equation given in the video?

• Divide by X squared

• Set the equation equal to zero

• Add 7 to both sides

• Multiply all terms by X

When factoring out X to the third power from X to the fifth, what is the resulting power of X?

• X to the fourth

• X squared

• X cubed

• X to the fifth

Which of the following is a factor of the polynomial after factoring out X cubed?

• X - 2

• X + 2

• X - 9

• X + 9

What operation is used to solve for X when the factor is X cubed equals zero?

• Addition

• Subtraction

• Cube root

• Square root

What is the cube root of zero?

• Undefined

• Infinity

• Zero

• One