8.2 Factoring Trinomials ( a =1)

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax² + bx + c.

Front

What does it mean to factor a trinomial?

Back

Factoring a trinomial involves rewriting it as a product of two binomials.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c = 0, where a, b, and c are constants.

Front

What is the first step in factoring a trinomial of the form x² + bx + c?

Back

Identify two numbers that multiply to c and add to b.

Front

Factor the trinomial: x² + 5x + 4

Back

(x + 4)(x + 1)

Front

Factor the trinomial: x² + 4x + 3

Back

(x + 1)(x + 3)

Front

Factor the trinomial: x² - 9x + 20

Back

(x - 5)(x - 4)

Front

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

Back

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

Front

Factor the trinomial: n² + 16n + 63

Back

(n + 7)(n + 9)

Front

Factor the trinomial: k² - 2k - 24

Back

(k + 4)(k - 6)