2.3a GCF and Factoring Trinomials

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest factor that divides two or more numbers without leaving a remainder.

Front

Find the GCF of 16x^5, 12x^4, and -x^3.

Back

x^3

Front

Factor the trinomial r^2 - 16r + 60.

Back

(r - 6)(r - 10)

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms.

Front

How do you factor a trinomial of the form ax^2 + bx + c?

Back

Look for two numbers that multiply to ac and add to b.

Front

Factor the trinomial 3a^2 + 4a + 1.

Back

(3a + 1)(a + 1)

Front

What does it mean for a polynomial to be 'not factorable'?

Back

It means that the polynomial cannot be expressed as a product of simpler polynomials with rational coefficients.

Front

Factor completely: 15t^2 - 27t - 6.

Back

3(5t + 1)(t - 2)

Front

What is the first step in factoring a polynomial?

Back

Identify and factor out the GCF (Greatest Common Factor) if possible.

Front

Factor the expression 2a^2 + 4a - 1.

Back

Not factorable