Factoring Polynomials Techniques

The video tutorial covers various techniques for factoring polynomials, starting with the greatest common factor (GCF) and moving on to more complex methods like factoring by grouping and handling polynomials with two or three terms. It provides examples and explanations for each method, emphasizing the importance of simplifying expressions and checking work. Advanced techniques are also discussed, preparing students for more complex problems.

What is the first step in factoring any polynomial?

• Determine the number of terms

• Find the greatest common factor

• Check if it is a prime polynomial

• Use the quadratic formula

When factoring a polynomial with two terms, which of the following is NOT a possible form?

• Difference of squares

• Sum of squares

• Difference of cubes

• Sum of cubes

For a trinomial with a leading coefficient of one, what should you look for?

• Two numbers that multiply to the last term and add to the middle term

• Two numbers that add to the last term and multiply to the middle term

• Two numbers that multiply to the first term and add to the last term

• Two numbers that add to the first term and multiply to the middle term

What is the technique used for factoring trinomials with a leading coefficient other than one?

• Splitting the middle term

• Using the quadratic formula

• Factoring by grouping

• Completing the square

What is the first step in factoring by grouping for a polynomial with four terms?

• Check if it is a prime polynomial

• Find the greatest common factor of all terms

• Use the quadratic formula

• Group the first two and last two terms