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 standard form of a quadratic equation?

Back

The standard form is ax² + 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 ax².

Front

How do you identify the coefficients in a trinomial?

Back

In the trinomial ax² + bx + c, 'a' is the coefficient of x², 'b' is the coefficient of x, and 'c' is the constant term.

Front

What is the relationship between the roots and the factors of a trinomial?

Back

The roots of a trinomial are the values of x that make the trinomial equal to zero, and they correspond to the factors of the trinomial.

Front

What is the process of factoring x² - 16x + 48?

Back

To factor, find two numbers that multiply to 48 (the constant term) and add to -16 (the coefficient of x). The factors are (x - 12)(x - 4).

Front

How do you factor x² - 15x + 36?

Back

Find two numbers that multiply to 36 and add to -15. The factors are (x - 12)(x - 3).

Front

What is the zero product property?

Back

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

Front

What is a binomial?

Back

A binomial is a polynomial with two terms, such as (x - 4) or (x + 6).