Factor 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

How do you factor a trinomial when a=1?

Back

To factor a trinomial of the form x^2 + bx + c, find two numbers that multiply to c and add to b.

Front

Factor the trinomial: x^2 - 5x - 36

Back

(x + 4)(x - 9)

Front

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

Back

(n + 7)(n + 9)

Front

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

Back

(p + 15)(p + 3)

Front

Factor the trinomial: x^2 + 12x + 36

Back

(x + 6)(x + 6)

Front

Factor the trinomial: k^2 + 7k + 10

Back

(k + 2)(k + 5)

Front

What is the first step in factoring a trinomial?

Back

Identify the coefficients a, b, and c in the trinomial ax^2 + bx + c.

Front

What does it mean to 'factor' a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors.

Front

What are the factors of x^2 - 9?

Back

(x - 3)(x + 3) - This is a difference of squares.