Factoring Trinomials

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 to factor a trinomial?

Back

Factoring a trinomial involves rewriting it as a product of two binomials.

Front

What is the general form of factoring a 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 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 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 of p and q in the factors (x + p)(x + q).

Front

Factor the trinomial: x² + 7x - 30

Back

(x + 10)(x - 3)

Front

Factor the trinomial: n² + 5n - 6

Back

(n - 1)(n + 6)

Front

Factor completely: 3x² + 10x - 8

Back

(3x - 2)(x + 4)

Front

Factor the trinomial: k² - 2k - 24

Back

(k + 4)(k - 6)