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 with a leading coefficient greater than 1?

Back

The first step is to multiply 'a' and 'c' (the leading coefficient and the constant term) 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 the terms affect the signs of the numbers you find to split the middle term.

Front

How do you check if your factorization is correct?

Back

You can check by multiplying the binomials back together to see if you get the original trinomial.

Front

What is the role of the distributive property in factoring?

Back

The distributive property is used to expand the binomials back into the original trinomial.

Front

What is a common mistake when factoring trinomials?

Back

A common mistake is forgetting to consider the signs of the factors when splitting the middle term.