Factor a trinomial using ac method when you have a coefficient for quadratic term

The video tutorial explains how to factor a trinomial using the AC method. It begins by introducing the concept of factoring and the importance of identifying the coefficients in a quadratic expression. The AC method involves multiplying the coefficients A and C, then finding two numbers that multiply to this product and add to B. The tutorial demonstrates how to replace the middle term with these factors and use grouping to factor the expression completely.

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

• Guess the factors.

• Use the quadratic formula.

• Directly write the factors.

• Identify the coefficients A, B, and C.

When using the AC method, what do you need to find after calculating A * C?

• Two numbers that multiply to B.

• Two numbers that multiply to A * C and add to B.

• Two numbers that add to A.

• Two numbers that add to C.

Which pair of numbers correctly multiplies to 20 and adds to 9 in the example?

• 10 and 2

• 6 and 3

• 20 and 1

• 5 and 4

What is the purpose of grouping terms in the AC method?

• To prepare for factoring by grouping.

• To find the greatest common factor.

• To eliminate terms.

• To simplify the expression.

After factoring out common terms, what is the final step in the AC method?

• Factor out the common binomial.

• Multiply the factors.

• Divide the expression by a constant.

• Add the terms back together.