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 standard form of a quadratic equation?

Back

The standard form is ax^2 + bx + c = 0, where a, b, and c are constants.

Front

What is the leading coefficient in a trinomial?

Back

The leading coefficient is the coefficient of the term with the highest degree, usually 'a' in ax^2.

Front

How do you identify the factors of a trinomial?

Back

To identify factors, look for two numbers that multiply to 'ac' (the product of a and c) and add to 'b'.

Front

What is the process of factoring x^2 + bx + c?

Back

Find two numbers that multiply to c and add to b, then rewrite the trinomial as (x + m)(x + n).

Front

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

Back

(x + 2)(x + 3)

Front

What is the difference between a prime polynomial and a factorable polynomial?

Back

A prime polynomial cannot be factored into simpler polynomials, while a factorable polynomial can.

Front

How do you check if your factorization is correct?

Back

Multiply the binomials back together to see if you get the original trinomial.

Front

What is the significance of the zero product property in factoring?

Back

The zero product property states that if a product of factors equals zero, at least one of the factors must be zero.