Factoring Trinomials and Integer Pairs

The video tutorial explains how to factor trinomials of the form AX^2 + BX + C when A equals 1. It provides four examples, demonstrating the process of identifying factors of the constant term that add up to the middle coefficient. The tutorial covers both positive and negative factors, verifying the results by expanding the binomials back into the original trinomial form.

What is the first step in factoring a trinomial of the form x^2 + bx + c?

• Find the factors of x^2 that add to b

• Find the factors of c that add to b

• Find the factors of b that add to c

• Find the factors of x that add to c

Which pair of factors of 32 add up to 12?

• 8 and 4

• 1 and 32

• 2 and 16

• 4 and 8

What is the purpose of verifying the factors by multiplying them out?

• To check if the factors are correct

• To find new factors

• To simplify the trinomial

• To change the signs of the factors

Which pair of factors of -60 add up to 11?

• -1 and 60

• -4 and 15

• -5 and 12

• -6 and 10

In the second example, what are the factors of the trinomial x^2 + 11x - 60?

• (x - 4)(x + 15)

• (x + 5)(x - 12)

• (x + 4)(x - 15)

• (x - 5)(x + 12)

What is the common factor among the terms in the third example?

• 2

• 1

• x

• 5

Which pair of factors of 20 add up to -9?

• -4 and -5

• -1 and -20

• -2 and -10

• -5 and -4

In the fourth example, which pair of factors of -24 add up to -5?

• -1 and 24

• -2 and 12

• -3 and 8

• -8 and 3

What is the factored form of the trinomial x^2 - 5x - 24?

• (x + 4)(x - 6)

• (x - 4)(x + 6)

• (x + 8)(x - 3)

• (x - 8)(x + 3)

What is the main challenge in factoring trinomials of the form x^2 + bx + c?

• Finding the factors of x^2

• Finding the factors of c that add to b

• Finding the factors of b that add to c

• Finding the common factor among the terms