Factoring Trinomials

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 a perfect square trinomial?

Back

A perfect square trinomial is a trinomial that can be expressed as the square of a binomial, in the form (a + b)² or (a - b)².

Front

Factor the trinomial: x² + 12x + 36

Back

(x + 6)(x + 6)

Front

Factor the trinomial: x² - 8x + 15

Back

(x - 5)(x - 3)

Front

How do you identify a perfect square trinomial?

Back

A trinomial is a perfect square if the first and last terms are perfect squares and the middle term is twice the product of the square roots of the first and last terms.

Front

Is x² + 16x + 64 a perfect square trinomial?

Back

Yes

Front

Is x² + 18x + 9 a perfect square trinomial?

Back

No

Front

What is the GCF (Greatest Common Factor)?

Back

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

Front

Factor completely: 3x² + 18x + 15

Back

3(x + 5)(x + 1)