Multiplying binomials

Front

What is the result of multiplying the binomials (x + 3) and (x + 7)?

Back

x² + 10x + 21

Front

How do you simplify (x - 7)²?

Back

x² - 14x + 49

Front

What is the product of (x + 7) and (x + 9)?

Back

x² + 16x + 63

Front

What do you get when you multiply (x - 3) and (x + 10)?

Back

x² + 7x - 30

Front

What is the result of multiplying (r + 2) and (r - 8)?

Back

r² - 6r - 16

Front

What is the FOIL method in multiplying binomials?

Back

FOIL stands for First, Outside, Inside, Last; it is a method used to multiply two binomials.

Front

What does the term 'binomial' mean in algebra?

Back

A binomial is a polynomial that contains exactly two terms.

Front

What is the general formula for multiplying two binomials (a + b)(c + d)?

Back

The result is ac + ad + bc + bd.

Front

How can you identify the coefficients in the expression x² + 10x + 21?

Back

The coefficients are 1 (for x²), 10 (for x), and 21 (the constant term).

Front

What is the significance of the constant term in a polynomial?

Back

The constant term is the value of the polynomial when all variable terms are set to zero.