Factoring Trinomials with a = 1 and 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 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: x^2 + 9x - 36

Back

(x + 12)(x - 3)

Front

Factor the trinomial: a^2 - a - 12

Back

(a - 4)(a + 3)

Front

What is the GCF (Greatest Common Factor)?

Back

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

Front

What is the Slip and Slide method in factoring?

Back

The Slip and Slide method involves multiplying the leading coefficient by the constant term, then factoring the resulting trinomial.

Front

Factor the trinomial using the Slip and Slide method: 32x^2 - 16x + 2

Back

2(4x - 1)(4x - 1)

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is a trinomial that can be expressed as the square of a binomial.