Factoring Trinomials a=1

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 standard form of a quadratic equation?

Back

The standard form is ax² + bx + c = 0, where a, b, and c are constants.

Front

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

Back

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

Front

How do you factor the trinomial x² + 5x + 6?

Back

(x + 2)(x + 3) because 2 and 3 add to 5 and multiply to 6.

Front

What is the first step in factoring a trinomial?

Back

Identify two numbers that multiply to 'c' and add to 'b'.

Front

What is the factored form of n² - 4?

Back

(n - 2)(n + 2) because it is a difference of squares.

Front

How do you factor n² + 6n + 8?

Back

(n + 2)(n + 4) because 2 and 4 add to 6 and multiply to 8.

Front

What is the factored form of x² - 9?

Back

(x - 3)(x + 3) because it is a difference of squares.

Front

What is the factored form of r² - 16r + 60?

Back

(r - 6)(r - 10) because -6 and -10 add to -16 and multiply to 60.