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 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 a perfect square trinomial?

Back

A perfect square trinomial can be identified if it can be expressed as (a + b)² or (a - b)².

Front

Factor the trinomial: d² - 10d + 25

Back

(d - 5)(d - 5) or (d - 5)².

Front

Factor the trinomial: n² - 13n + 40

Back

(n - 5)(n - 8).

Front

What is the formula for factoring a difference of squares?

Back

The formula is a² - b² = (a + b)(a - b).

Front

Factor the trinomial: n² - 2n + 1

Back

(n - 1)².

Front

Factor the trinomial: k² - 2k - 24

Back

(k + 4)(k - 6).