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 + bx + c.

Front

How do you identify the factors of a trinomial when a = 1?

Back

When a = 1, you look for two numbers that multiply to c and add to b.

Front

Factor the trinomial: a^2 - a - 12

Back

(a - 4)(a + 3)

Front

Factor the trinomial: d^2 - 10d + 25

Back

(d - 5)(d - 5) or (d - 5)^2

Front

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

Back

(n - 5)(n - 8)

Front

Factor the trinomial: x^2 - 5x - 50

Back

(x - 10)(x + 5)

Front

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

Back

(k + 4)(k - 6)