Factoring Trinomials (a=1)

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form 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.

Front

Factor the trinomial: x^2 + 5x + 6.

Back

(x + 2)(x + 3)

Front

What is the difference of squares?

Back

The difference of squares is a special case of factoring, expressed as a^2 - b^2 = (a + b)(a - b).

Front

Factor the expression: x^2 - 9.

Back

(x + 3)(x - 3)

Front

What is the relationship between the coefficients and 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: x^2 + 9x + 20.

Back

(x + 4)(x + 5)

Front

What is a binomial?

Back

A binomial is a polynomial with two terms, such as a + b.