Factoring Trinomials

Front

What is a trinomial?

Back

A trinomial is a polynomial that consists of 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 = 0, where a, b, and c are constants.

Front

What is the first step in factoring a trinomial?

Back

Identify the coefficients a, b, and c from the trinomial.

Front

How do you find two numbers that multiply to ac and add to b?

Back

Look for two integers that, when multiplied, equal the product of a and c, and when added, equal b.

Front

What is the factored form of r² - 16r + 60?

Back

(r - 6)(r - 10)

Front

What is the factored form of 2x² + 3x - 9?

Back

(x + 3)(2x - 3)

Front

What is the factored form of 3x² + 10x - 8?

Back

(3x - 2)(x + 4)

Front

What is the factored form of 3v² - 4v - 7?

Back

(3v - 7)(v + 1)

Front

What is the factored form of 3a² + 4a + 1?

Back

(3a + 1)(a + 1)