Factoring

Front

What is factoring in algebra?

Back

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

Front

What is the difference of squares formula?

Back

The difference of squares formula states that a² - b² = (a + b)(a - b).

Front

Factor the expression: x² - 25

Back

(x + 5)(x - 5)

Front

What is the standard form of a quadratic equation?

Back

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

Front

How do you factor a quadratic expression of the form x² + bx + c?

Back

To factor, find two numbers that multiply to c and add to b, then express as (x + m)(x + n).

Front

Factor the expression: x² + 7x - 30

Back

(x + 10)(x - 3)

Front

What is a prime polynomial?

Back

A prime polynomial is a polynomial that cannot be factored into simpler polynomials with real coefficients.

Front

Factor the expression: a² - a - 12

Back

(a - 4)(a + 3)

Front

What is the process of factoring by grouping?

Back

Factoring by grouping involves rearranging and grouping terms to factor out common factors.

Front

Factor the expression completely: 3x² + 5x - 12

Back

(3x - 4)(x + 3)