Factoring

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

Front

What is the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length by its width.

Front

How do you factor a quadratic expression of the form ax^2 + bx + c?

Back

To factor a quadratic expression, find two numbers that multiply to ac and add to b, then rewrite the expression using these numbers.

Front

What are the dimensions of a rectangle with an area of 2x^2 - 19x + 45?

Back

(2x - 9)(x - 5) are the dimensions of the rectangle.

Front

What is the area of a rectangle with dimensions (2x - 9) and (x - 5)?

Back

The area is 2x^2 - 19x + 45.

Front

How do you factor the expression x^2 + 7x - 30?

Back

The expression factors to (x + 10)(x - 3).

Front

What is the area of a square?

Back

The area of a square is calculated by squaring the length of one of its sides.

Front

What is the length of a square with an area of 25x^2 + 20x + 4?

Back

The length is (5x + 2) meters.

Front

What does it mean to factor completely?

Back

Factoring completely means breaking down an expression into its simplest factors, including prime factors.

Front

How do you factor the expression 8x^3 - 18x?

Back

The expression factors completely to 2x(2x + 3)(2x - 3).