Binomial times binomials

Front

What is the result of multiplying two binomials?

Back

The result of multiplying two binomials is a quadratic expression, which can be expressed in the form ax² + bx + c.

Front

What is the FOIL method in binomial multiplication?

Back

The FOIL method stands for First, Outside, Inside, Last, and is a technique used to multiply two binomials by multiplying the first terms, outside terms, inside terms, and last terms.

Front

What is the expanded form of (x + a)(x + b)?

Back

The expanded form is x² + (a + b)x + ab.

Front

How do you find the coefficient of x in the product of two binomials?

Back

The coefficient of x is found by adding the coefficients of the x terms from each binomial.

Front

What is the constant term in the product of two binomials?

Back

The constant term is the product of the constant terms from each binomial.

Front

What is the result of (x + 7)(x + 9)?

Back

The result is x² + 16x + 63.

Front

What is the result of (x - 3)(x + 10)?

Back

The result is x² + 7x - 30.

Front

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

Back

The result is x² - 10x + 24.

Front

What is the result of (x + 5)(x + 4)?

Back

The result is x² + 9x + 20.

Front

What is the result of (x - 1)(x - 8)?

Back

The result is x² - 9x + 8.