Factoring

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, or factors, that when multiplied together give the original expression.

Front

What is the difference between a prime polynomial and a factorable polynomial?

Back

A prime polynomial cannot be factored into simpler polynomials with integer coefficients, while a factorable polynomial can be expressed as a product of two or more polynomials.

Front

Factor the expression: x² - 25

Back

(x + 5)(x - 5)

Front

What is the formula for factoring a difference of squares?

Back

The formula is a² - b² = (a + b)(a - b).

Front

Factor completely: 3x² + 5x - 12

Back

(3x - 4)(x + 3)

Front

Factor the expression: x² - 9

Back

(x + 3)(x - 3)

Front

What is the first step in factoring a quadratic expression?

Back

The first step is to identify the coefficients of the quadratic expression in the form ax² + bx + c.

Front

Factor completely: k² - 2k - 24

Back

(k + 4)(k - 6)

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers or expressions.

Front

Factor the expression: 4b⁵ + 4b³ + 16b²

Back

4b²(b³ + b + 4)