Factoring

Front

What are the zeros of a polynomial?

Back

The zeros of a polynomial are the values of x that make the polynomial equal to zero.

Front

Solve by factoring: x^2 + 3x - 18 = 0

Back

x = 3 and x = -6

Front

Factor: x^2 - 25

Back

(x + 5)(x - 5) - This is a difference of squares.

Front

What is the GCF (Greatest Common Factor)?

Back

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

Front

Factor out the GCF: 12x + 6

Back

6(2x + 1)

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of degree 2, typically in the form ax^2 + bx + c = 0.

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors.

Front

Solve by factoring: 3x^2 + 9x - 30 = 0

Back

x = 2 and x = -5

Front

What is the difference of squares?

Back

The difference of squares is a special factoring pattern: a^2 - b^2 = (a + b)(a - b).

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax^2 + bx + c = 0, where a, b, and c are constants.