8.2 Factoring Trinomials ( a =1)

Front

What is a trinomial?

Back

A trinomial is a polynomial with 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 is ax^2 + bx + c, where a, b, and c are constants.

Front

What is the significance of the leading coefficient in a trinomial?

Back

The leading coefficient (a) determines the direction of the parabola when graphed.

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 when a = 1?

Back

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

Front

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

Back

(n + 7)(n + 9)

Front

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

Back

(x - 5)(x - 3)

Front

Factor the trinomial: x^2 - 9x + 20

Back

(x - 5)(x - 4)

Front

Factor the trinomial: k^2 - 2k - 24

Back

(k + 4)(k - 6)