Factoring Quartic Polynomials and Methods

The video tutorial explains the cross method and double cross method for factoring quadratic and quartic equations. It demonstrates the process of breaking down terms and solving systems of equations with integer coefficients. The tutorial concludes with the final solution, emphasizing the importance of correct order and integer results.

What method is used to factor quadratic trinomials?

• Cross method

• Double cross method

• Factor R method

• Tic Tac Toe method

What is the double cross method used for?

• Simplifying expressions

• Solving linear equations

• Factoring quartic polynomials

• Factoring quadratic trinomials

What can a quartic polynomial be factored into?

• A cubic and a linear factor

• Four linear factors

• Two irreducible quadratic factors

• Two linear factors

What is the first step in applying the cross method to a quartic polynomial?

• Breaking apart the leading term

• Finding the roots

• Combining like terms

• Simplifying the expression

What must be true for the coefficients in the cross method?

• They must be prime numbers

• They must be positive

• They must be integers

• They must be even numbers

What happens if the coefficients are not integers?

• The polynomial is irreducible

• The factorization is incorrect

• The method fails

• The solution is unique

What is the final factorization of the given quartic polynomial?

• 5x² + 6x + 3 * x² - 4x + 2

• 5x² + 4x - 3 * x² - 6x + 2

• 5x² - 4x + 3 * x² + 6x + 2

• 5x² + 4x + 3 * x² - 6x + 2