Factor Trinomials

Front

What is a trinomial?

Back

A trinomial is a polynomial that consists of 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 of a quadratic equation is ax^2 + bx + c = 0.

Front

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

Back

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

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.

Front

What is the first step in factoring a trinomial?

Back

The first step is to identify two numbers that multiply to 'ac' and add to 'b'.

Front

Factor the trinomial: x^2 - 5x - 24

Back

(x - 8)(x + 3)

Front

Factor the trinomial: n^2 + 16n + 63

Back

(n + 7)(n + 9)

Front

Factor the trinomial: x^2 + 5x - 36

Back

(x + 9)(x - 4)

Front

Factor the trinomial: x^2 - 8x + 15

Back

(x - 5)(x - 3)