Factoring Trinomials in the form ax2 + bx + c

**Step** 1 (**trinomial**): Set up a product of two ( ) where each will hold two terms. **Step** 2 (**trinomial**): Find the factors that go in the **first** positions. **Step** 3 (**trinomial**): Find the factors that go in the last positions. We need two numbers whose product is -20 and sum is 1.

Additionally, what is ax2 bx c called? Parabolas. The graph of a quadratic equation in two variables (y = **ax ^{2}** +

**bx**+

**c**) is

**called**a parabola.

Subsequently, one may also ask, what are the steps to factoring?

**Factoring completely is a three step process:**

- Factor a GCF from the expression, if possible.
- Factor a Trinomial, if possible.
- Factor a Difference Between Two Squares as many times as possible.

How do you factor a trinomial?

To **factor a trinomial** in the form x^{2} + bx + c, find two integers, r and s, whose product is c and whose sum is b. Rewrite the **trinomial** as x^{2} + rx + sx + c and then use grouping and the distributive property to **factor** the **polynomial**. The resulting **factors** will be (x + r) and (x + s).

### How do you factor a quadratic trinomial?

Summary of Steps to Factor Quadratic Trinomials Remove Common Factors if possible. If the coefficient of the x2 term is 1, then. x2 + bx + c = (x + n)(x + m), where n and m. · Multiply to give c. · Add to give b. If the coefficient of the x2 term is not 1, then use either. Guess-and Check. List the factors of the coefficient of the x2 term.