Factoring Trinomials (when 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, 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 factors of a trinomial when a = 1?

Back

Look for two numbers that multiply to 'c' and add to 'b'.

Front

Factor: x^2 + 12x + 35

Back

(x + 5)(x + 7)

Front

Factor: x^2 + 11x + 24

Back

(x + 8)(x + 3)

Front

Factor: a^2 - a - 12

Back

(a - 4)(a + 3)

Front

Factor: x^2 - 15x + 50

Back

(x - 10)(x - 5)

Front

Factor: x^2 - 9x + 20

Back

(x - 5)(x - 4)