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

How do you identify the coefficients in a trinomial?

Back

In ax² + bx + c, 'a' is the coefficient of x², 'b' is the coefficient of x, and 'c' is the constant term.

Tags

CCSS.6.EE.A.2B

Front

What is the first step in factoring a trinomial when a > 1?

Back

The first step is to multiply 'a' and 'c' to find the product.

Front

What is the purpose of finding two numbers that multiply to ac and add to b?

Back

These two numbers help in splitting the middle term to facilitate factoring.

Front

What is the significance of the signs in a trinomial?

Back

The signs of 'b' and 'c' determine the signs of the numbers used to split the middle term.

Front

How do you factor the trinomial 2m² + 3m - 9?

Back

The factored form is (m + 3)(2m - 3).

Front

What is the factored form of 3v² - 4v - 7?

Back

The factored form is (3v - 7)(v + 1).

Front

How do you factor completely?

Back

To factor completely, ensure all factors are prime and cannot be factored further.