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, 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, which is 'a' in ax^2.

Front

How do you factor x^2 + bx + c when a = 1?

Back

Find two numbers that multiply to c and add to b, then write it as (x + m)(x + n) where m and n are those numbers.

Front

Factor the trinomial: x^2 + 12x + 35

Back

(x + 5)(x + 7)

Front

Factor the trinomial: x^2 + 11x + 24

Back

(x + 8)(x + 3)

Front

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

Back

(n + 7)(n + 9)

Front

Factor the trinomial: n^2 - 13n + 40

Back

(n - 5)(n - 8)

Front

Factor the trinomial: x^2 + 5x + 4

Back

(x + 4)(x + 1)