Factoring Trinomials (Leading Coefficient is 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 leading coefficient in a trinomial?

Back

The leading coefficient is the coefficient of the term with the highest degree, usually the x^2 term.

Front

How do you factor a trinomial with a leading coefficient of 1?

Back

To factor a trinomial with a leading coefficient of 1, find two numbers that multiply to c and add to b.

Front

Factor the trinomial: x^2 + 6x - 27

Back

(x + 9)(x - 3)

Front

Factor the trinomial: x^2 - 6x - 40

Back

(x + 4)(x - 10)

Front

Factor the trinomial: x^2 - 9x - 22

Back

(x + 2)(x - 11)

Front

Factor the trinomial: x^2 + 15x - 100

Back

(x + 20)(x - 5)

Front

Factor the trinomial: x^2 + 37x + 132

Back

(x + 33)(x + 4)

Front

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

Back

The factors of a trinomial correspond to the roots of the equation when set to zero.