Factoring Trinomials and FOIL Method

The video tutorial explains how to factor trinomials using the AC method. It begins by identifying the values of a, b, and c in a trinomial and emphasizes the importance of reordering terms to standard form. The tutorial then demonstrates calculating the product of a and c, finding two numbers that multiply to this product and add to b, and splitting the middle term. The process of factor by grouping is explained, followed by checking the solution using the FOIL method.

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

• Find the greatest common factor.

• Calculate the sum of a and c.

• Rearrange the trinomial terms.

• Identify the coefficients a, b, and c.

Why is it important to have the x squared term first in a trinomial?

• It makes multiplication easier.

• It ensures the trinomial is in standard form.

• It simplifies the addition process.

• It helps in finding the greatest common factor.

What should you do if the trinomial is not in the correct order?

• Add a new term to balance it.

• Rearrange it to have the x squared term first.

• Ignore the order and proceed.

• Multiply all terms by a constant.

How do you calculate the value of a times c in the AC method?

• Multiply the coefficients a and c.

• Add the coefficients a and c.

• Subtract c from a.

• Divide a by c.

What is the purpose of finding two numbers that multiply to a times c and add to b?

• To rearrange the trinomial.

• To find the greatest common factor.

• To split the middle term.

• To simplify the trinomial.

Which pair of numbers satisfies the condition of multiplying to 36 and adding to 37?

• 3 and 12

• 1 and 36

• 6 and 6

• 2 and 18

What is the next step after identifying the two numbers in the AC method?

• Split the middle term using the two numbers.

• Combine the terms.

• Rearrange the trinomial.

• Multiply the terms.

How is the middle term of the trinomial split in the AC method?

• By dividing by a constant.

• By multiplying by a factor.

• By using the two identified numbers.

• By adding a constant.

What is the purpose of creating four terms in the trinomial?

• To find the greatest common factor.

• To rearrange the terms.

• To factor by grouping.

• To simplify the trinomial.

What is the greatest common factor of the terms 4x^2 and x?

• 4x

• 4

• x

• 1