Factoring Quadratics a=1

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation 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

What is the factored form of x² - 10x + 24?

Back

(x - 6)(x - 4)

Front

How do you find the factors of a quadratic expression?

Back

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

Front

What is the factored form of x² + 9x + 20?

Back

(x + 4)(x + 5)

Front

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

Back

The leading coefficient (a) determines the direction of the parabola: if a > 0, it opens upwards; if a < 0, it opens downwards.

Front

What are the roots of a quadratic equation?

Back

The roots are the values of x that make the equation equal to zero, found by factoring or using the quadratic formula.

Front

What is the factored form of x² - 17x + 72?

Back

(x - 9)(x - 8)

Front

What is the process of completing the square?

Back

Completing the square involves rewriting a quadratic in the form (x - p)² = q to find its vertex and roots.

Front

What is the factored form of x² + 9x - 36?

Back

(x + 12)(x - 3)