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 factored form of x² - 5x?

Back

x(x - 5)

Front

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

Back

Look for two numbers that multiply to c and add to b, then express it as (x + m)(x + n) where m and n are those numbers.

Front

What is the factored form of x² - 16x + 48?

Back

(x - 12)(x - 4)

Front

What is the factored form of x² + 9x - 36?

Back

(x + 12)(x - 3)

Front

What is the factored form of p² - 14p?

Back

p(p - 14)

Front

What is the factored form of x² - 5x - 24?

Back

(x - 8)(x + 3)

Front

What is the difference of squares?

Back

The difference of squares is a special factoring case where a² - b² = (a - b)(a + b).

Front

What is the first step in factoring a polynomial?

Back

Look for a common factor in all terms and factor it out.

Front

What does it mean to factor by grouping?

Back

Factoring by grouping involves rearranging and grouping terms in a polynomial to factor it into simpler expressions.