Algebra 1. Review for Flashcard 11. Factoring Trinomials with 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 general form of factoring a trinomial with a > 1?

Back

The general form is ax^2 + 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 the trinomial ax^2 + bx + c, 'a' is the coefficient of x^2, '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 with a > 1?

Back

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

Front

What is the significance of the product of 'a' and 'c' in factoring?

Back

The product helps in finding two numbers that multiply to 'ac' and add to 'b'.

Front

How do you find the two numbers needed for factoring?

Back

Look for two numbers that multiply to 'ac' and add to 'b'.

Front

What is the next step after finding the two numbers?

Back

Rewrite the middle term 'bx' using the two numbers found.

Front

What do you do after rewriting the middle term?

Back

Group the terms into two pairs and factor out the common factors.

Front

What is the final step in factoring a trinomial?

Back

Combine the factors from the grouped pairs to write the final factored form.