Flashcard Review: GCF, Difference of Squares, Factoring trinomials

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest positive integer that divides all the given numbers without leaving a remainder.

Front

What is the Difference of Squares formula?

Back

The Difference of Squares formula states that a^2 - b^2 = (a - b)(a + b).

Front

How do you factor a trinomial of the form x^2 + bx + c?

Back

To factor a trinomial, find two numbers that multiply to c and add to b, then express it as (x + m)(x + n) where m and n are those two numbers.

Front

What is a prime polynomial?

Back

A prime polynomial is a polynomial that cannot be factored into the product of two non-constant polynomials.

Front

Factor the expression: x^2 + 81

Back

Prime

Front

Factor the expression: x^2 + 7x - 30

Back

(x + 10)(x - 3)

Front

Factor the expression: x^2 + 2x - 24

Back

(x + 6)(x - 4)

Front

Identify 'b' in the trinomial 3x + 5x^2 - 10.

Back

3

Front

Factor the expression: x^2 - 25

Back

(x + 5)(x - 5)

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.