Factoring Trinomials a=1

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax² + 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 trinomial?

Back

The standard form of a trinomial is ax² + bx + c, where a, b, and c are constants.

Front

What is the first step in factoring a trinomial when a=1?

Back

Identify two numbers that multiply to c and add to b.

Front

Factor the trinomial: x² + 5x + 6

Back

(x + 2)(x + 3)

Front

Factor the trinomial: x² - 7x + 10

Back

(x - 2)(x - 5)

Front

What is the relationship between the coefficients and the roots of a trinomial?

Back

The sum of the roots is -b/a and the product of the roots is c/a.

Front

How do you check if your factorization is correct?

Back

Multiply the binomials to see if you get the original trinomial.

Front

Factor the trinomial: x² + 4x + 4

Back

(x + 2)(x + 2) or (x + 2)²

Front

What is the significance of the leading coefficient in factoring?

Back

If a = 1, the factoring process is simpler as you only need to find two numbers that add to b.