Interactive video lesson plan for: Factoring Quadratic Trinomials ax⁪²+bx+c when ac is Negative - Algebra I

Activity overview:

In this video, you will learn how to factor ax²+bx+c when ac is negative. When you multiply the value of a and the value of c, you get ac. To factor a polynomial is this form, you temporarily remove the a terms, and replace the c term with the ac term so that the polynomial is now in standard form. Standard form of a polynomial is x²+bx+c. After you have this form, you simply factor the two binomials. Now you bring back the a term and divide the constant of the binomials by the a. If the constant divides evenly, you write the quotient in place of the constant. If it doesn't divide evenly, then you bring the a term up and multiply it by the variable and leave the constant of the binomial as it is.

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