Warm Up [12/2] - Conic Sections & Matrices

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is a quadratic expression that can be factored into the square of a binomial. It has the form (a + b)² = a² + 2ab + b² or (a - b)² = a² - 2ab + b².

Front

Factor the expression: x² + 18x + 81

Back

(x + 9)²

Front

Factor the expression: x² - 30x + 225

Back

(x - 15)²

Front

Factor the expression: x² + 24x + 144

Back

(x + 12)²

Front

Factor the expression: x² - 4x + 4

Back

(x - 2)²

Front

Factor the expression: x² - 20x + 100

Back

(x - 10)²

Front

What is the general form of a quadratic equation?

Back

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

Front

What is the vertex form of a quadratic function?

Back

The vertex form of a quadratic function is y = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves. It can be found using the formula x = -b/(2a).

Front

What does it mean for a quadratic to be factored completely?

Back

A quadratic is factored completely when it is expressed as a product of its linear factors, and no further factoring is possible.