Flashcard: Factoring & Solving Quadratics - A

Front

What is the factored form of the expression 4x² - 16?

Back

4(x - 2)(x + 2)

Front

Is the expression 16x² + 25 factorable?

Back

Unfactorable

Front

How do you complete the square for the equation 2x² - 20x + 18 = 0?

Back

x = {1, 9}

Front

What are the solutions for the equation 3x² + 20x - 7 = 0 when solved by factoring?

Back

{\frac{1}{3}, -7}

Front

Factor completely: 3n² - 15n + 18.

Back

3(n - 3)(n - 2)

Front

What is the difference of squares formula?

Back

a² - b² = (a - b)(a + b)

Front

What is the quadratic formula?

Back

x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}

Front

What does it mean for a quadratic to be unfactorable?

Back

It means the quadratic cannot be expressed as a product of two binomials with real coefficients.

Front

What is the first step in factoring a quadratic expression?

Back

Look for a common factor in all terms.

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b² - 4ac) determines the nature of the roots: two real roots, one real root, or no real roots.