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 polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors, which are polynomials of lower degrees.

Front

What is the standard form of a quadratic trinomial?

Back

The standard form of a quadratic trinomial is ax² + bx + c, where a, b, and c are constants.

Front

What is the leading coefficient in a trinomial?

Back

The leading coefficient is the coefficient of the term with the highest degree (ax² in ax² + bx + c).

Front

How do you factor a trinomial when a > 1?

Back

To factor a trinomial when a > 1, look for two numbers that multiply to ac and add to b, then use these to split the middle term.

Front

Factor the trinomial: 2r² - 44r + 242

Back

2(r - 11)²

Front

Factor the trinomial: e² + 5e - 6

Back

(e - 1)(e + 6)

Front

Factor the trinomial: 5e² - 13e + 6

Back

(e - 2)(5e - 3)

Front

Factor the trinomial: x² + 9x - 36

Back

(x + 12)(x - 3)

Front

Factor the trinomial: 3e² - 15e + 18

Back

3(e - 3)(e - 2)