7.2-7.3 Multiplying Polynomials and Special Products

What is the importance of combining like terms in polynomial multiplication?

• It increases the degree of the polynomial.

• It allows for easier factoring of the polynomial.

• Combining like terms simplifies the expression and makes it easier to understand and work with.

• It changes the coefficients of the polynomial.

What is the distributive property?

• The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by multiple terms inside parentheses.

• The distributive property states that a + (b + c) = (a + b) + c, allowing you to add multiple terms together.

• The distributive property states that a(b - c) = ab - ac, allowing you to multiply a single term by a difference of terms.

• The distributive property states that a(b + c) = a + b + c, allowing you to add multiple terms together.

What is the formula for the square of a binomial (a - b)²?

• a² + 2ab + b²

• a² - 2ab + b²

• a² - b²

• (a - b)(a + b)

What does it mean to multiply polynomials?

• It involves adding the coefficients of the polynomials.

• It involves using the distributive property to combine each term in one polynomial with each term in another polynomial.

• It means to find the greatest common factor of the polynomials.

• It is the process of dividing one polynomial by another.

Multiply: (x + 4)(x - 2)

• x² + 2x - 8

• x² + 6x - 8

• x² + 2x + 8

• x² - 8

Multiply: (x + 2)(x + 3)

• x² + 4x + 6

• x² + 5x + 5

• x² + 5x + 6

• x² + 6x + 6

What is the result of multiplying (a + b)(a - b)?

• a² + b²

• a² - b²

• ab

• (a + b)(a - b)

What is the formula for the square of a binomial (a + b)²?

• a² + 2ab + b²

• a² - 2ab + b²

• a² + b²

• 2a² + 2b²

What is the result of multiplying (3x - 5)(4x² - 2x - 3)?

• 12x³ - 26x² + x + 15

• 12x³ - 20x² - 15

• 12x³ - 10x² + 5

• 12x³ - 30x² + 10

What is the result of (7r - 6)(7r + 6)?

• 49r² - 36

• 42r² - 36

• 49r² + 36

• 49r² - 12