Factoring Quadratics

Front

What is the G.C.F. of 12x³y + 18xy - 6x²y²?

Back

6xy

Front

Which of the following is a difference of perfect squares? (a) x² - 18 (b) 4x² + 36 (c) 9x² - 100 (d) x² + 4

Back

9x² - 100

Front

What are the solutions to the quadratic function 3x² - 36x + 96 = 0?

Back

x = {4, 8}

Front

If a trinomial ax² + bx + c has a negative 'c' value, what do you know about the signs in its binomial factors?

Back

The signs are one + and one -

Front

Factor completely: 3x² + 5x - 12

Back

(3x - 4)(x + 3)

Front

What is a quadratic function?

Back

A polynomial function of degree 2, typically in the form f(x) = ax² + bx + c.

Front

What is the standard form of a quadratic equation?

Back

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

Front

What does it mean for a quadratic to be factored?

Back

Factoring a quadratic means expressing it as a product of its linear factors.

Front

What is the vertex form of a quadratic function?

Back

The vertex form is f(x) = a(x - h)² + k, where (h, k) is the vertex.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is b² - 4ac and determines the nature of the roots.