Factor Trinomials

Front

What is a trinomial?

Back

A trinomial is a polynomial that consists of 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 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 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 two numbers that multiply to 'ac' (the product of 'a' and 'c') and add to 'b'.

Front

Factor the trinomial: x² - 5x - 36

Back

(x + 4)(x - 9)

Front

Factor the trinomial: x² - 8x + 15

Back

(x - 5)(x - 3)

Front

Factor the trinomial: n² + 5n - 6

Back

(n - 1)(n + 6)

Front

Factor the trinomial: 2x² + 3x - 9

Back

(x + 3)(2x - 3)

Front

Factor the trinomial: x² + 12x + 36

Back

(x + 6)(x + 6)