Factor Trinomials

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form of ax^2 + bx + c.

Front

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

Back

To factor a trinomial of the form x^2 + bx + c, find two numbers that multiply to c and add to b.

Front

Factor the trinomial: x^2 - 8x + 15

Back

(x - 5)(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 using the GCF method?

Back

To factor using the GCF method, identify the GCF of the terms and factor it out.

Front

Factor the expression: 10x + 15

Back

5(2x + 3)

Tags

CCSS.7.EE.A.1

Front

What does it mean to factor completely?

Back

Factoring completely means breaking down an expression into its simplest factors.

Front

Factor the expression: 4x^2 + 24x - 64

Back

4(x + 8)(x - 2)

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, e.g., (x + a)^2.

Tags

CCSS.HSA.APR.C.4

Front

Factor the trinomial: x^2 + 12x + 36

Back

(x + 6)(x + 6)