Mixed Review Factoring Quadratic Trinomials

Front

Factor the Trinomial: x² - 8x + 15

Back

(x - 5)(x - 3)

Front

Factor: x² + 12x + 36

Back

(x + 6)(x + 6)

Front

Factor: x² + 17x - 60

Back

(x + 20)(x - 3)

Front

Factor: x² - 25

Back

(x + 5)(x - 5)

Front

Factor: x² + 4xy + 4y²

Back

(x + 2y)(x + 2y)

Front

What is a quadratic trinomial?

Back

A polynomial of the form ax² + bx + c where a, b, and c are constants.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c = 0.

Front

What does it mean to factor a polynomial?

Back

To express it as a product of its factors.

Front

What is the zero-product property?

Back

If ab = 0, then a = 0 or b = 0.

Front

What is the significance of the discriminant in a quadratic equation?

Back

It determines the nature of the roots: positive (two real roots), zero (one real root), negative (no real roots).