Factoring Trinomials (when 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 = 0, where a, b, and c are constants.

Front

What is the leading coefficient in a trinomial?

Back

The leading coefficient is the coefficient of the term with the highest degree, usually 'a' in ax^2.

Front

How do you identify the coefficients in a trinomial?

Back

In the trinomial ax^2 + bx + c, 'a' is the coefficient of x^2, 'b' is the coefficient of x, and 'c' is the constant term.

Front

What is the first step in factoring a trinomial when a = 1?

Back

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

Front

Factor the trinomial: x^2 - 8x + 15

Back

(x - 5)(x - 3)

Front

Factor the trinomial: k^2 - 2k - 24

Back

(k + 4)(k - 6)

Front

Factor the trinomial: x^2 - 5x - 24

Back

(x - 8)(x + 3)

Front

Factor the trinomial: n^2 + 16n + 63

Back

(n + 7)(n + 9)