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

Tags

CCSS.HSA.APR.A.1

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

Tags

CCSS.HSA.APR.A.1

How many terms are generated when multiplying two trinomials?

• 15

• 6

• 12

• 9

Tags

CCSS.HSA.APR.A.1

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

Tags

CCSS.HSA.APR.A.1

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

Tags

CCSS.6.EE.A.3

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

Tags

CCSS.7.EE.A.1

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

• 11

• 9

• 4

• 8

Tags

CCSS.7.EE.A.1

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

• 5

• 10

• 18

• 15

Tags

CCSS.7.EE.A.1