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 the factors of a trinomial?

Back

To identify factors, look for two numbers that multiply to 'c' and add to 'b'.

Front

What is the factored form of n² - 13n + 40?

Back

(n - 5)(n - 8) is the factored form.

Front

What does it mean if a trinomial is prime?

Back

A prime trinomial cannot be factored into real number binomials.

Front

What is the factored form of n² + 16n + 63?

Back

(n + 7)(n + 9) is the factored form.

Front

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

Back

(r - 6)(r - 10) is the factored form.

Front

What is the factored form of d² - 10d + 25?

Back

(d - 5)(d - 5) or (d - 5)² is the factored form.