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 + 8x - 20

Back

(x + 10)(x - 2)

Front

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

Back

(x + 20)(x - 5)

Front

Factor the trinomial: x^2 - 13x - 114

Back

(x + 6)(x - 19)

Front

Factor the trinomial: x^2 - 3x - 40

Back

(x + 5)(x - 8)

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.