Factoring Trinomials

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 means rewriting it as a product of two binomials.

Front

What is the general form of a factored trinomial?

Back

The general form is (x + p)(x + q) where p and q are numbers that satisfy the equation.

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?

Back

The first step is to identify the coefficients a, b, and c.

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 trinomial equal to zero, and they correspond to the values p and q in the factors (x + p)(x + q).

Tags

CCSS.HSA.APR.B.3

Front

How do you factor the trinomial x^2 + 9x - 36?

Back

The factors are (x + 12)(x - 3).

Front

What is the factored form of n^2 + 16n + 63?

Back

The factored form is (n + 7)(n + 9).

Front

What is the factored form of x^2 - 144?

Back

The factored form is (x - 12)(x + 12).

Tags

CCSS.HSA.APR.C.4

Front

How do you factor x^2 - 5x + 6 completely?

Back

The factored form is (x - 3)(x - 2).