Factoring Quadratics

Front

What is the factored form of a quadratic equation?

Back

The factored form of a quadratic equation is expressed as (ax + b)(cx + d), where a, b, c, and d are constants.

Front

What is the standard form of a quadratic equation?

Back

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

Front

How do you factor a quadratic equation of the form x² + bx + c?

Back

To factor a quadratic equation of the form x² + bx + c, find two numbers that multiply to c and add to b.

Front

What is the difference of squares?

Back

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

Front

What is the factored form of x² - 10x + 24?

Back

(x - 4)(x - 6) is the factored form of x² - 10x + 24.

Front

What is the factored form of x² + 16x + 15?

Back

(x + 1)(x + 15) is the factored form of x² + 16x + 15.

Front

How do you factor x² - 8x - 48?

Back

To factor x² - 8x - 48, find two numbers that multiply to -48 and add to -8, which are -12 and 4, giving (x - 12)(x + 4).

Front

What is the factored form of x² - 81?

Back

(x - 9)(x + 9) is the factored form of x² - 81, which is a difference of squares.

Front

How do you factor a quadratic expression with a leading coefficient?

Back

To factor a quadratic expression with a leading coefficient, use the method of grouping or trial and error to find two binomials that multiply to the expression.

Front

What is the factored form of 100x² - 64?

Back

(10x - 8)(10x + 8) is the factored form of 100x² - 64.