Integer Operations and Factorization

This video lesson focuses on rewriting quadratic expressions in factored form, building on concepts from a previous lesson. It explores sums and products of integer pairs, converting between factored and standard forms, and understanding the role of negative and positive factors. The lesson includes activities to observe patterns and practice problems to reinforce learning.

What is the product of the integers 2 and -6?

• -6

• 12

• -12

• 6

Which pair of integers has a positive sum and a product of -12?

• 2 and -6

• -4 and 3

• -2 and 6

• 4 and -3

What is the sum of the integers 4 and -3?

• -1

• -7

• 7

• 1

How can you translate a quadratic expression from factored form to standard form?

• By using a table or distribution

• By subtracting the factors

• By multiplying the factors

• By adding the coefficients

Which of the following pairs of numbers multiply to 18 and add up to -9?

• 3 and 6

• -2 and -9

• -3 and -6

• 2 and 9

What is the result when you multiply a positive number by a negative number?

• Undefined

• Negative

• Zero

• Positive

Which pair of numbers multiplies to -36 and adds up to 9?

• 9 and -9

• 6 and -6

• -12 and 3

• 12 and -3

What is the sum of the factors 25 and 4?

• -29

• 21

• -21

• 29

Which pair of numbers multiplies to 100 and adds up to 0?

• 20 and -20

• 50 and -50

• 5 and -5

• 10 and -10

What is the sum of the factors -20 and -5?

• 25

• 15

• -25

• -15