T2W3 Flashcard

Front

What is the factored form of a^2 - a - 12?

Back

(a - 4)(a + 3)

Front

How do you express three times the sum of 2 and e in algebraic form?

Back

3(e + 2)

Front

What is the expanded form of (3x - 1)(x + 5)?

Back

3x^2 + 14x - 5

Front

How do you express twice a number plus six in algebraic form?

Back

2x + 6

Front

What is the completely factored form of 3x^2 - 9x - 120?

Back

3(x - 8)(x + 5)

Front

What is the process of factoring a quadratic expression?

Back

To factor a quadratic expression, find two numbers that multiply to the constant term and add to the coefficient of the linear term.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants.

Front

What does it mean to factor an expression completely?

Back

Factoring an expression completely means breaking it down into irreducible factors, where no further factoring is possible.

Front

What is the significance of the leading coefficient in a quadratic expression?

Back

The leading coefficient (a) determines the direction of the parabola (upward if a > 0, downward if a < 0) and affects the width of the parabola.

Front

How do you identify the roots of a quadratic equation?

Back

The roots of a quadratic equation can be found using the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a).