Learn How to Mentally Factor a Trinomial

The video tutorial explains how to multiply terms to form a polynomial, focusing on achieving a specific result of 4X squared. It discusses selecting factors that multiply to give 2 and emphasizes the need for negative factors to achieve a negative sum. The tutorial verifies different factor combinations to find the correct polynomial solution.

What are the possible combinations of terms that can multiply to give 4X squared?

• None of the above

• Both A and B

• 2X and 2X

• 4X and X

Why must both factors be negative when achieving a negative middle term?

• Because the sum is negative

• Because the sum is positive

• Because the product is negative

• Because the product is positive

Which of the following combinations results in a negative middle term?

• 1 and -2

• -1 and -2

• -1 and 2

• 1 and 2

What is the correct factorization of the polynomial?

• (X - 1)(4X + 2)

• (X + 1)(4X - 2)

• (X - 1)(4X - 2)

• (X - 2)(4X + 1)

How does the teacher verify the correct factorization?

• By checking the sum of the inner terms

• By checking the product of the outer terms

• By checking only the middle term

• By checking both the product and sum of terms