Factoring Monomials and Multiplication

The video tutorial discusses the factorization of the term 24x^5 into two monomials. Both Theodore and Claire provide correct factorizations, demonstrating that multiple factorizations are possible. The video encourages viewers to explore different ways to factor the term, highlighting the flexibility in mathematical problem-solving.

What were Theodore and Claire asked to do with the term 24x^5?

• Add it to another monomial

• Factor it into two monomials

• Divide it by a polynomial

• Multiply it by a constant

How did Theodore factor 24x^5?

• 6x^2 times 4x^3

• 8x^3 times 3x^2

• 4x times 6x^4

• 12x times 2x^4

What is the result of multiplying 8 by 3 in Theodore's factorization?

• 18

• 24

• 30

• 21

What is the power of x when you multiply x^3 by x^2?

• x^4

• x^7

• x^5

• x^6

How did Claire factor 24x^5?

• 12x times 2x^4

• 6x^2 times 4x^3

• 8x^3 times 3x^2

• 4x times 6x^4

What is the result of multiplying 4 by 6 in Claire's factorization?

• 20

• 22

• 26

• 24

What is the power of x when you multiply x^1 by x^4?

• x^6

• x^5

• x^4

• x^3

What does the video suggest about the number of ways to factor a monomial like 24x^5?

• Only one way

• Two ways

• Three ways

• Multiple ways

Which of the following is another possible factorization of 24x^5?

• 12x^3 times 2x^2

• 10x^2 times 2.4x^3

• 6x^2 times 4x^3

• 5x times 4.8x^4

What is the product of 12 and 2 in the alternative factorization example?

• 24

• 26

• 20

• 22