2. Factoring Quadratic Expressions a=1

Front

What is the standard form of a quadratic expression?

Back

The standard form of a quadratic expression is ax² + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What does it mean to factor a quadratic expression?

Back

Factoring a quadratic expression means rewriting it as a product of two binomials.

Front

Factor the expression: k² − 2k − 24

Back

(k + 4)(k − 6)

Front

Factor the expression: x² + 9x - 36

Back

(x + 12)(x - 3)

Front

Factor the expression: x² + 11x + 24

Back

(x + 8)(x + 3)

Front

Factor the expression: x² + 7x - 30

Back

(x + 10)(x - 3)

Front

Factor the expression: x² - 16x + 48

Back

(x - 12)(x - 4)

Front

What is the relationship between the coefficients and the roots of a quadratic equation?

Back

The sum of the roots is equal to -b/a and the product of the roots is equal to c/a.

Front

What is the zero-product property?

Back

If the product of two factors is zero, then at least one of the factors must be zero.

Front

How do you determine the factors of a quadratic expression?

Back

To determine the factors, find two numbers that multiply to 'c' and add to 'b' in the expression ax² + bx + c.