Factoring Trinomials A>1 Flashcard

Front

What is a trinomial?

Back

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

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors, which are polynomials of lower degrees.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants.

Front

What is the first step in factoring a trinomial?

Back

The first step is to identify the coefficients a, b, and c in the trinomial ax^2 + bx + c.

Front

How do you factor a trinomial when a > 1?

Back

To factor a trinomial when a > 1, look for two numbers that multiply to ac and add to b.

Front

What is the difference of squares?

Back

The difference of squares is a special case of factoring, expressed as a^2 - b^2 = (a - b)(a + b).

Front

Factor the trinomial: 3x^2 + 15x - 72.

Back

3(x + 8)(x - 3).

Front

Factor the trinomial: 2x^2 + 12x - 54.

Back

2(x + 9)(x - 3).

Front

What is the factored form of k^2 + 7k + 10?

Back

(k + 2)(k + 5).

Front

Factor the expression: x^2 - 81.

Back

(x - 9)(x + 9).