2nd Period Factoring Quadratic Trinomials

Front

Define a quadratic trinomial.

Back

A quadratic trinomial is a polynomial of degree 2 that can be expressed in the form ax² + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What is the standard form of a quadratic equation?

Back

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

Front

What does it mean to factor a quadratic trinomial?

Back

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

Front

Factor: m² + 8m + 15

Back

(m + 3)(m + 5)

Front

Factor: k² - 2k - 24

Back

(k + 4)(k - 6)

Front

Factor: y² + 2y - 24

Back

(y + 6)(y - 4)

Front

Factor: x² - 10x + 16

Back

(x - 2)(x - 8)

Front

Factor: 3v² - 4v - 7

Back

(3v - 7)(v + 1)

Front

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

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 a binomial?

Back

A binomial is a polynomial that contains exactly two terms.