Algebra 2 - How to factor the GCF from a trinomial, s^3 + 6s^2 + 11s

The video tutorial discusses the process of factoring a trinomial. It begins by identifying common factors among terms and then attempts to factor a given trinomial. The instructor explains the need to find two numbers that multiply to a specific value and add to another. However, the trinomial in question cannot be factored further, leading to a conclusion that only the variable can be factored out.

What is the first step when attempting to factor a polynomial?

• Check if the polynomial is a perfect square.

• Rewrite the polynomial in standard form.

• Look for common factors among all terms.

• Divide the polynomial by the highest degree term.

What are the factors of 11 that were considered in the video?

• 2 and 5.5

• 1 and 11

• 4 and 2.75

• 3 and 3.67

Why was the trinomial not factored further?

• The factors did not add up to the middle term.

• The trinomial was a perfect square.

• It was already in its simplest form.

• The trinomial was not quadratic.

What is the result when trying to factor a trinomial with no suitable factors?

• The trinomial is left unchanged.

• The trinomial is multiplied by a constant.

• The trinomial is divided by its leading coefficient.

• The trinomial is rewritten as a binomial.

What was the final step mentioned in the video regarding the trinomial?

• Factoring out a variable.

• Completing the square.

• Graphing the trinomial.

• Using the quadratic formula.