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 a factor?

Back

A factor is a number or expression that divides another number or expression evenly, without leaving a remainder.

Front

Factor the expression: 3a² + 4a + 1

Back

(3a + 1)(a + 1)

Front

Factor the expression: x² + 11x + 24

Back

(x + 8)(x + 3)

Front

Which of the following is a factor of 4n² - 17n - 15? Options: n+5, 4n-5, 4n-3, 4n+3

Back

4n + 3

Front

Which of the following is a factor of 3x² - 7x + 2? Options: x - 1, x - 2, 3x - 2, 3x + 1

Back

x - 2

Front

Which of the following is a factor of x² - 10x + 24? Options: x-4, x+4, x+6, x-2

Back

x - 4

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a) for the equation ax² + bx + c = 0.

Front

What does it mean if an expression is 'not factorable'?

Back

It means that the expression cannot be expressed as a product of simpler expressions using real numbers.

Front

What is the first step in factoring a quadratic expression?

Back

Identify the coefficients a, b, and c in the standard form ax² + bx + c.