Factor Trinomials

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form 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

What is the relationship between the coefficients and roots of a quadratic equation?

Back

The sum of the roots is -b/a and the product of the roots is c/a.

Tags

CCSS.HSA-REI.B.4B

Front

How do you factor the trinomial x^2 - 5x - 24?

Back

The factors are (x - 8)(x + 3).

Front

What is the first step in factoring a trinomial?

Back

Identify two numbers that multiply to ac (the product of a and c) and add to b.

Front

What is the factored form of 3v^2 - 4v - 7?

Back

The factored form is (3v - 7)(v + 1).

Front

How do you factor out the greatest common factor (GCF)?

Back

Identify the largest factor common to all terms and factor it out.

Front

What is the factored form of 5x^2 - 15x + 10?

Back

The factored form is 5(x - 2)(x - 1).

Front

What is the significance of the leading coefficient in a trinomial?

Back

The leading coefficient (a) affects the direction and width of the parabola represented by the quadratic.

Tags

CCSS.HSF-IF.C.7A