Factoring Trinomials (Leading Coefficient is 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 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 - 10x + 21

Back

(x - 7)(x - 3)

Front

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

Back

(x + 2)(x - 11)

Front

Factor the trinomial: x^2 + 8x - 9

Back

(x + 9)(x - 1)

Front

Factor the trinomial: x^2 - 9x + 18

Back

(x - 6)(x - 3)

Front

Factor the trinomial: x^2 + 18x + 32

Back

(x + 16)(x + 2)

Front

What is the zero product property?

Back

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