Factor Trinomials (when a = 1)

Front

What is a trinomial?

Back

A trinomial is a polynomial that consists of 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, 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, which is 'a' in ax^2.

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.

Front

What is the process of factoring when a = 1?

Back

When a = 1, you look for two numbers that multiply to 'c' and add to 'b'.

Front

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

Back

(x + 2)(x + 3)

Front

Factor the trinomial: x^2 - 7x + 10

Back

(x - 2)(x - 5)

Front

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

Back

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

Front

How can you check if your factorization is correct?

Back

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