Multiplying binomials

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms, which can be separated by a plus or minus sign.

Front

What does it mean to multiply binomials?

Back

Multiplying binomials involves using the distributive property or the FOIL method to find the product of two binomials.

Front

What is the FOIL method?

Back

FOIL stands for First, Outside, Inside, Last, and is a technique used to multiply two binomials by multiplying the terms in these four combinations.

Front

What is the result of (x - 7)²?

Back

The result is x² - 14x + 49, which is obtained by applying the formula (a - b)² = a² - 2ab + b².

Front

How do you simplify (x - 3)(x + 10)?

Back

You apply the distributive property: x² + 10x - 3x - 30 = x² + 7x - 30.

Front

What is the product of (y - 3)(y + 7)?

Back

The product is y² + 4y - 21, calculated using the distributive property.

Front

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

Back

The result is x² + 16x + 63, found by multiplying each term in the first binomial by each term in the second.

Front

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

Back

The product is x² - 10x + 24, calculated using the distributive property.

Front

What is the general form of a quadratic equation?

Back

The general form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants.

Front

What is the significance of the coefficients in a quadratic equation?

Back

The coefficients a, b, and c determine the shape and position of the parabola represented by the quadratic equation.