Factoring Quadratics a=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 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 it mean for a quadratic to be factorable?

Back

A quadratic is factorable if it can be expressed as the product of two binomials.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0.

Front

What is the factored form of x² - 5x + 6?

Back

(x - 2)(x - 3)

Front

How do you factor x² + 7x + 12?

Back

Look for two numbers that multiply to 12 and add to 7. The factors are (x + 3)(x + 4).

Front

What is the greatest common factor (GCF)?

Back

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

Front

How do you factor out the GCF from 6x² + 9x?

Back

Factor out 3x to get 3x(2x + 3).

Front

What is the difference of squares?

Back

The difference of squares is a special factoring case where a² - b² = (a - b)(a + b).

Front

What is the factored form of x² - 16?

Back

(x - 4)(x + 4) because it is a difference of squares.