3.4 (P2) Warm Up 11.05.24

Front

What is the process of factoring a quadratic expression?

Back

Factoring a quadratic expression involves rewriting it as a product of two binomials. This is done by finding two numbers that multiply to the constant term and add to the coefficient of the linear term.

Front

What is the factored form of the quadratic expression x² + 5x - 24?

Back

(x + 8)(x - 3)

Front

How do you factor the expression 4x² - 16x - 9?

Back

You can factor it as (2x - 9)(2x + 1) using the method of grouping or the quadratic formula.

Front

What is the difference of squares, and how is it factored?

Back

The difference of squares is a special case of factoring where an expression is in the form a² - b², which can be factored as (a - b)(a + b).

Front

What is the factored form of 49x² - 100?

Back

(7x - 10)(7x + 10) because it is a difference of squares.

Front

What is the axis of symmetry formula for a quadratic function?

Back

The axis of symmetry for a quadratic function in the form f(x) = ax² + bx + c is given by the formula x = -b/(2a).

Front

How do you find the value of b in the function f(x) = -x² + bx - 3 using the axis of symmetry?

Back

Using the axis of symmetry formula, set x = -b/(2(-1)) = 2. Solving for b gives b = 4.

Front

What is the factored form of the expression 3x² - 3x - 18?

Back

3(x - 3)(x + 2) by factoring out the common factor first.

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms, such as (x + 2) or (3x - 5).

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.