Factoring Quadratics

Front

What is the GCF of the trinomial 3x² - 9x - 120?

Back

3

Front

Factor the expression x² - 30x + 225.

Back

(x - 15)²

Front

Factor the expression 3x² - 75.

Back

3(x + 5)(x - 5)

Front

Factor the expression 4x² + 36x + 81.

Back

(2x + 9)²

Front

Factor the expression 8x² + 14x + 5.

Back

(4x + 5)(2x + 1)

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax² + bx + c.

Front

What does it mean for an expression to be prime?

Back

An expression is prime if it cannot be factored into simpler expressions with integer coefficients.

Front

What is the difference of squares?

Back

The difference of squares is a special factoring pattern that states a² - b² = (a + b)(a - b).

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants.