Factoring Trinomials a=1

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 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 ax^2 + bx + c = 0, where a, b, and c are constants.

Front

How do you identify the coefficients in a trinomial?

Back

In the trinomial ax^2 + bx + c, 'a' is the coefficient of x^2, 'b' is the coefficient of x, and 'c' is the constant term.

Tags

CCSS.6.EE.A.2B

Front

What is the first step in factoring a trinomial when a=1?

Back

The first step is to find two numbers that multiply to 'c' and add to 'b'.

Front

Back

(x + 5)(x + 7) or (x + 7)(x + 5).

Front

Back

(x - 2)(x + 18) or (x + 18)(x - 2).

Front

Back

(x - 6)(x - 8) or (x - 8)(x - 6).

Front

What is the relationship between the roots and the factors of a trinomial?

Back

The roots of the trinomial are the values of x that make the factors equal to zero.

Tags

CCSS.HSA.APR.B.2

Front

What is the significance of the constant term 'c' in a trinomial?

Back

The constant term 'c' is the product of the roots when the trinomial is factored.