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 = 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 factors of a trinomial?

Back

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

Front

Factor the trinomial: x^2 - 15x + 36

Back

(x - 12)(x - 3)

Front

Factor the trinomial: x^2 - 16x + 48

Back

(x - 12)(x - 4)

Front

Factor the trinomial: p^2 + 18p + 45

Back

(p + 15)(p + 3)

Front

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

Back

(n + 7)(n + 9)

Front

What does it mean if a trinomial is prime?

Back

A trinomial is prime if it cannot be factored into the product of two binomials.