FACTORING: Trinomials with a = 1 - LATE

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

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 when a trinomial is factorable?

Back

A trinomial is factorable if it can be expressed as a product of two binomials.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c, where a, b, and c are constants.

Front

How do you factor a trinomial with a = 1?

Back

To factor a trinomial with a = 1, find two numbers that multiply to c and add to b, then express it as (x + m)(x + n).

Front

Factor the trinomial: x² + 12x + 35

Back

(x + 5)(x + 7)

Front

Factor the trinomial: x² - 9x + 20

Back

(x - 5)(x - 4)

Front

Factor the trinomial: a² - a - 12

Back

(a - 4)(a + 3)

Front

Factor the trinomial: x² - 5x - 24

Back

(x - 8)(x + 3)

Front

Factor the trinomial: x² + 9x - 36

Back

(x + 12)(x - 3)