Tutorial - Learn the best method to factoring a trinomial when a is not 1 ex 13, 3n^2 -17n+10

The video tutorial explains how to factor trinomials using the AC method. It begins with an introduction to the importance of factoring and the AC method, followed by a detailed explanation of the method. The tutorial then demonstrates how to apply the AC method by finding factors that multiply to a specific product and add to a specific sum. The process includes rewriting the trinomial and using grouping to factor the polynomial. The tutorial concludes with a summary of the steps for factoring trinomials when the leading coefficient is not 1.

What is the first step in the AC method for factoring trinomials?

• Divide the coefficient 'a' by 'b'.

• Multiply the coefficients 'a' and 'c'.

• Subtract the coefficient 'b' from 'c'.

• Add the coefficients 'a' and 'b'.

When using the AC method, what should the two numbers do besides multiplying to 'a * c'?

• They should multiply to 'b'.

• They should divide to 'a'.

• They should subtract to 'c'.

• They should add up to 'b'.

What is the purpose of rewriting the trinomial with new factors?

• To simplify the expression.

• To prepare for factoring by grouping.

• To eliminate the variable.

• To change the coefficients.

In factoring by grouping, what is the next step after rewriting the polynomial?

• Factor out the common terms from each group.

• Add the groups together.

• Multiply the groups together.

• Divide the groups by a common factor.

What do you do after factoring out the common expression in both groups?

• Multiply the common expression by itself.

• Add the common expression to the original trinomial.

• Divide the common expression by the coefficient 'a'.

• Combine the remaining terms to form the final factors.