Factor 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 = 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

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

Back

(x - 5)(x - 3)

Front

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

Back

(n + 7)(n + 9)

Front

Factor the trinomial: a^2 - a - 12

Back

(a - 4)(a + 3)

Front

What does it mean if a trinomial is prime?

Back

A trinomial is prime if it cannot be factored into the product of two binomials.

Front

Factor the trinomial: v^2 - 3v - 80

Back

Prime