4.5 - Factoring Trinomials (a=1)

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form of ax^2 + 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 ax^2 + bx + c, where a, b, and c are constants.

Front

What is the first step in factoring a trinomial of the form x^2 + bx + c?

Back

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

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Back

(x - 1)(x + 12) or (x + 12)(x - 1)

Front

Back

(x - 3)(x - 4) or (x - 4)(x - 3)

Front

Back

(x + 3)(x - 4) or (x - 4)(x + 3)

Front

Back

(x - 3)(x + 4) or (x + 4)(x - 3)

Front

Back

(x - 3)(x + 5) or (x + 5)(x - 3)

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.