Factoring Trinomials 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 when 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 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 leading coefficient greater than 1?

Back

The first step is to multiply 'a' and 'c' (the leading coefficient and the constant term).

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

Factor the trinomial: x^2 - 5x + 6

Back

(x - 2)(x - 3)

Front

Factor the trinomial: 2x^2 + 7x + 3

Back

(2x + 1)(x + 3)

Front

What is the difference between factoring a perfect square trinomial and a regular trinomial?

Back

A perfect square trinomial can be factored into the square of a binomial, while a regular trinomial may not.

Tags

CCSS.HSA.APR.C.4

Front

Factor the trinomial: x^2 + 6x + 9

Back

(x + 3)(x + 3) or (x + 3)^2