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, where a, b, and c are constants.

Front

What is the leading coefficient in a trinomial?

Back

The leading coefficient is the coefficient of the term with the highest degree, which is 'a' in ax².

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 process of factoring a trinomial when a=1?

Back

When a=1, you look for two numbers that multiply to 'c' and add to 'b'.

Front

Factor the trinomial: n² + 16n + 63

Back

(n + 7)(n + 9)

Front

Factor the trinomial: n² + 5n - 6

Back

(n - 1)(n + 6)

Front

Factor the trinomial: x² + 4x + 3

Back

(x + 1)(x + 3)

Front

Factor the trinomial: x² + 3x + 2

Back

(x + 2)(x + 1)