Understanding Factors and Divisibility in Algebra

The video tutorial introduces the concept of factors, starting with the number 12 and explaining how whole numbers can be multiplied to achieve it. It then extends the idea of factors and divisibility to algebraic expressions, using monomials with integer coefficients. The tutorial further explores the concept with binomials and trinomials, demonstrating how these can also be factored and how they relate to integer coefficients.

Which of the following is NOT a factor of 12?

• 1

• 5

• 3

• 6

If a number is divisible by 3, which of the following must be true?

• It is even

• It is a multiple of 3

• It is a prime number

• It is greater than 10

What is the result of multiplying 3xy by -2x^2y^3?

• 6x^3y^4

• 6x^2y^3

• -6x^2y^3

• -6x^3y^4

Which of the following is a factor of the expression x^2 + 10x + 21?

• x + 7

• x + 3

• x + 5

• x + 2

What is the importance of integer coefficients in algebraic expressions?

• They determine factors and divisibility

• They make expressions longer

• They simplify calculations

• They are always positive