Factoring Trinomials a=1

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

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 for a trinomial to be factorable?

Back

A trinomial is factorable if it can be expressed as the 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 = 0, where a, b, and c are constants.

Front

How do you identify the coefficients in a trinomial?

Back

In the trinomial ax² + bx + c, 'a' is the coefficient of x², 'b' is the coefficient of x, and 'c' is the constant term.

Front

What is the first step in factoring a trinomial?

Back

The first step is to identify two numbers that multiply to 'c' (the constant term) and add to 'b' (the coefficient of x).

Front

Factor the trinomial: x² + 11x + 24

Back

(x + 8)(x + 3)

Front

Factor the trinomial: x² + 3x + 2

Back

(x + 2)(x + 1)

Front

Factor the trinomial: r² - 16r + 60

Back

(r - 6)(r - 10)

Front

What does it mean if a trinomial is prime?

Back

A trinomial is prime if it cannot be factored into the product of two binomials.