Factor Trinomials (when a = 1)

Front

What is a trinomial?

Back

A trinomial is a polynomial that consists of 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 of a quadratic equation is ax^2 + bx + c = 0.

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 + bx + c.

Front

How do you identify the factors of a trinomial?

Back

To identify the factors, look for two numbers that multiply to 'c' and add to 'b'.

Front

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

Back

(x - 3)(x - 8)

Front

Factor the trinomial: x^2 - 12x + 27

Back

(x - 3)(x - 9)

Front

Factor the trinomial: x^2 - 4x - 32

Back

(x - 8)(x + 4)

Front

Factor the trinomial: x^2 - 5x - 6

Back

(x + 1)(x - 6)

Front

Factor the trinomial: x^2 + 17x + 72

Back

(x + 9)(x + 8)