Factoring Quadratics

Front

What is factoring in mathematics?

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 a quadratic expression?

Back

A quadratic expression is a polynomial of degree 2, typically in the form ax² + bx + c, where a, b, and c are constants.

Front

What does GCF stand for in factoring?

Back

GCF stands for Greatest Common Factor, which is the largest factor that divides two or more numbers.

Front

How do you find the GCF of 12 and 18?

Back

The GCF of 12 and 18 is 6, as it is the largest number that divides both 12 and 18.

Front

Factor the expression: 24c^5 - 12c^3

Back

12c^3(2c^2 - 1)

Front

What is the factored form of 3a^2 + 4a + 1?

Back

(3a + 1)(a + 1)

Front

Factor the quadratic: x^2 - 10x + 24

Back

(x - 6)(x - 4)

Front

What is the factored form of x^2 + 12x + 20?

Back

(x + 2)(x + 10)

Front

What is the first step in factoring a trinomial?

Back

The first step is to identify the coefficients a, b, and c in the trinomial ax² + bx + c.

Front

What does it mean if a quadratic expression is not factorable?

Back

It means that the expression cannot be expressed as a product of two binomials with rational coefficients.