Multiplying binomials

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms, such as 5x + 11.

Front

What is the result of multiplying (x + 12)(x - 12)?

Back

The result is x² - 144.

Front

What does FOIL stand for in the context of multiplying binomials?

Back

FOIL stands for First, Outside, Inside, Last, which are the terms to multiply when using the FOIL method.

Front

What is the result of multiplying (x - 4)(x - 6)?

Back

The result is x² - 10x + 24.

Front

What is the result of multiplying (x + 2)(x + 3)?

Back

The result is x² + 5x + 6.

Front

How do you apply the FOIL method to (a + b)(c + d)?

Back

Multiply First (a*c), Outside (a*d), Inside (b*c), and Last (b*d), then combine like terms.

Front

What is the general form of a binomial?

Back

The general form of a binomial is a + b, where a and b can be any algebraic expressions.

Front

What is the difference between a binomial and a polynomial?

Back

A binomial is a specific type of polynomial that has exactly two terms, while a polynomial can have any number of terms.

Front

What is the product of (x + 5)(x - 5)?

Back

The product is x² - 25.

Front

What is the significance of the coefficients in a binomial?

Back

Coefficients are the numerical factors in front of the variables, determining the weight of each term in the binomial.