Factoring Trinomials w 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 quadratic equation?

Back

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

Front

What is the significance of the leading coefficient in a trinomial?

Back

The leading coefficient (a) affects the shape and direction of the parabola represented by the quadratic.

Front

How do you identify the factors of a trinomial when a=1?

Back

Look for two numbers that multiply to c and add to b in the trinomial x² + bx + c.

Front

Factor the trinomial: a² - a - 12

Back

(a - 4)(a + 3)

Front

Factor the trinomial: n² + 5n - 6

Back

(n - 1)(n + 6)

Front

Factor the trinomial: x² + 7x - 30

Back

(x + 10)(x - 3)

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest factor that divides two or more numbers.

Front

How do you factor out the GCF from a polynomial?

Back

Identify the GCF of all terms and divide each term by it, then write it outside the parentheses.