Polynomial Operations and Distributions

The video tutorial covers the process of factoring binomials using the FOIL method and simplifying the expression. It then moves on to demonstrate how to multiply trinomials, emphasizing the importance of organizing terms to simplify the process. The tutorial provides step-by-step instructions and highlights key points to ensure understanding.

What is the result of multiplying (x-3)(x+3) using the FOIL method?

• x^2 - 9

• x^2 + 6x + 9

• x^2 - 6x + 9

• x^2 + 9

After multiplying (x-2)(x^2-9), what is the correct order of terms in the final expression?

• x^3 - 2x^2 - 9x + 18

• x^3 - 2x^2 + 18 - 9x

• x^3 - 9x - 2x^2 + 18

• x^3 + 18 - 2x^2 - 9x

How many terms are generated when multiplying two trinomials?

• 15

• 6

• 12

• 9

What is the result of distributing x^2 across (4x^2 + x - 5)?

• 4x^3 + x^2 - 5x

• 4x^4 + x^2 - 5x

• 4x^4 + x^3 - 5x^2

• 4x^3 + x - 5

What is the result of distributing 2x across (4x^2 + x - 5)?

• 8x^3 + 2x^2 - 10x

• 8x^3 + 2x^2 - 5x

• 8x^3 + 2x - 10

• 8x^2 + 2x^2 - 10x

What is the result of distributing -1 across (4x^2 + x - 5)?

• -4x^2 - x + 5

• -4x^2 - x - 5

• -4x^2 + x + 5

• -4x^2 + x - 5

What is the coefficient of x^3 in the final expression after adding all terms?

• 11

• 9

• 4

• 8

What is the constant term in the final expression after adding all terms?

• 5

• 10

• 18

• 15