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 significance of the leading coefficient in a trinomial?

Back

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

Tags

CCSS.HSF-IF.C.7A

Front

How do you identify if a trinomial is prime?

Back

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

Front

What is the method to factor a trinomial when a=1?

Back

To factor a trinomial with a=1, find two numbers that multiply to c and add to b.

Front

Factor the trinomial: x² + 6x + 20

Back

PRIME

Front

Factor the trinomial: x² - 15x + 36

Back

(x - 12)(x - 3)

Front

Factor the trinomial: r² + 19r + 90

Back

(r + 9)(r + 10)

Front

Factor the trinomial: m² - 7m + 12

Back

(m - 3)(m - 4)