How to factor a trinomial with all positive terms

The video tutorial reviews multiplying binomials to produce trinomials and introduces the reverse process of factoring trinomials into binomials. It explains how to identify factors that multiply to one term and add to another, focusing on positive factors. An example problem is solved to demonstrate the process.

What is the result when two binomials are multiplied?

• A single term

• A quadratic equation

• A constant

• A trinomial

What is the first step in working backwards from a trinomial to find the binomials?

• Subtract the constant term

• Add the coefficients

• Use a mental trick with a diagram

• Divide the trinomial by a constant

What is the purpose of the mental trick using a diagram?

• To remember the operations needed

• To simplify the trinomial

• To divide the trinomial into parts

• To find the greatest common factor

In a quadratic form, what does the 'B' represent?

• The product of the binomials

• The constant term

• The coefficient of the linear term

• The variable with the highest exponent

Which of the following is a correct pair of factors for the number 24 that add up to 10?

• 5 and 5

• 8 and 3

• 12 and 2

• 6 and 4

Why are negative factors not considered in this example?

• Because the middle and last terms are positive

• Because negative factors are not allowed

• Because they are harder to calculate

• Because they do not multiply to give a positive product

What should you do if the middle term and the last term of a trinomial are both positive?

• Ignore the middle term

• Consider both positive and negative factors

• Consider only negative factors

• Consider only positive factors