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 general form of factoring a trinomial when a > 1?

Back

The general form is ax² + bx + c = (px + q)(rx + s), where p, q, r, and s are constants.

Front

What is the first step in factoring a trinomial?

Back

Identify the coefficients a, b, and c in the trinomial ax² + bx + c.

Front

How do you find two numbers that multiply to ac and add to b?

Back

Look for two integers that multiply to the product of a and c, and add to b.

Front

Factor the trinomial: 2x² - 13xy - 70y²

Back

(2x + 7y)(x - 10y)

Front

Factor the trinomial: -2h² + 4h + 70

Back

-2(h - 7)(h + 5)

Front

Factor the trinomial: 21z² - 70z + 49

Back

7(3z - 7)(z - 1)

Front

What is the significance of the leading coefficient in factoring?

Back

The leading coefficient (a) affects the shape of the parabola and the methods used for factoring.

Front

What is a binomial?

Back

A binomial is a polynomial with two terms, such as (px + q).