Factoring a=1

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, 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

What is the factored form of x² - 25?

Back

(x + 5)(x - 5)

Front

How do you factor the expression x² + 9x - 36?

Back

To factor x² + 9x - 36, find two numbers that multiply to -36 and add to 9. The factors are (x + 12)(x - 3).

Front

What is the factored form of d² - 10d + 25?

Back

(d - 5)(d - 5) or (d - 5)².

Front

What is the process to factor k² + 7k + 10?

Back

To factor k² + 7k + 10, find two numbers that multiply to 10 and add to 7. The factors are (k + 2)(k + 5).

Front

How do you factor n² - 13n + 40?

Back

To factor n² - 13n + 40, find two numbers that multiply to 40 and add to -13. The factors are (n - 5)(n - 8).

Front

What is the difference of squares formula?

Back

The difference of squares formula states that a² - b² = (a + b)(a - b).

Front

What are the steps to factor a quadratic expression?

Back

1. Write the expression in standard form. 2. Identify a, b, and c. 3. Find two numbers that multiply to ac and add to b. 4. Rewrite the expression using these numbers. 5. Factor by grouping if necessary.

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.