Factoring Test 2024

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 purpose of factoring quadratic equations?

Back

Factoring quadratic equations helps to find the roots or solutions of the equation, making it easier to solve.

Front

Factor the expression: n² + 16n + 63

Back

(n + 7)(n + 9)

Front

What are the factors of the difference of squares: 25x² - 81?

Back

(5x - 9)(5x + 9)

Front

Factor the expression: x² + 4x + 3

Back

(x + 1)(x + 3)

Front

What is a common factor?

Back

A common factor is a number or expression that divides two or more numbers or expressions without leaving a remainder.

Front

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

Back

4b²(b³ + b + 4)

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.

Front

Factor the expression: x² + 9x - 36

Back

(x + 12)(x - 3)

Front

What is the significance of the discriminant in factoring?

Back

The discriminant (b² - 4ac) determines the nature of the roots of a quadratic equation: real and distinct, real and repeated, or complex.