How to factor a trinomial when your middle and constant terms are positive

The video tutorial covers the process of factoring trinomials into binomials using various methods. It begins with an introduction to the concept of factoring and the importance of transforming a trinomial into two binomials. The FOIL method is explained as a technique to multiply binomials. The tutorial then discusses identifying factors of a constant term and introduces the diamond method for factoring. It emphasizes the consideration of positive and negative factors and concludes with the final steps in the factoring process.

What is the main goal when factoring a trinomial?

• To convert it into a single monomial

• To express it as a product of two binomials

• To simplify it to a constant

• To divide it by a linear term

Which method is used to organize numbers that multiply to a constant and add to a middle term?

• The binomial theorem

• The quadratic formula

• The diamond method

• The FOIL method

What should you consider when both terms in a trinomial are positive?

• Only negative factors

• Both positive and negative factors

• Only positive factors

• Neither positive nor negative factors

How do you verify the factorization of a trinomial?

• By using the quadratic formula

• By applying the FOIL method

• By dividing by a monomial

• By simplifying to a constant

Which pair of numbers multiply to 12 and add to 7?

• 2 and 6

• 3 and 4

• 1 and 12

• 5 and 2