Factoring Trinomials... a = 1

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax^2 + bx + c.

Front

What does it mean to factor a trinomial?

Back

Factoring a trinomial involves rewriting it as a product of two binomials.

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.

Front

What is the difference of squares?

Back

The difference of squares is a special product that can be factored as a^2 - b^2 = (a - b)(a + b).

Front

How do you factor x^2 - 10x + 25?

Back

(x - 5)(x - 5) or (x - 5)^2.

Front

What is the factored form of x^2 - 36?

Back

(x + 6)(x - 6).

Front

How do you factor x^2 + 9x - 36?

Back

(x + 12)(x - 3).

Front

What is the factored form of 4x^2 - 9?

Back

(2x - 3)(2x + 3).

Front

What is the greatest common factor (GCF)?

Back

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

Front

How do you factor 8x^3 + 18x?

Back

2x(4x^2 + 9).