Factoring Trinomials

Front

What is a trinomial?

Back

A trinomial is a polynomial that consists of three terms, typically in the form of 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 of a quadratic equation is ax^2 + bx + c = 0.

Front

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

Back

The sum of the roots is equal to -b/a and the product of the roots is equal to c/a.

Front

How do you factor the trinomial x^2 - 16x + 48?

Back

The factors are (x - 12)(x - 4).

Front

How do you factor the trinomial x^2 + 17x - 60?

Back

The factors are (x + 20)(x - 3).

Front

What is the factored form of n^2 - 13n + 40?

Back

The factors are (n - 5)(n - 8).

Front

Can the trinomial x^2 - 9x + 11 be factored?

Back

No, it is not factorable.

Front

What is the factored form of x^2 + 7x - 30?

Back

The factors are (x + 10)(x - 3).

Front

What is a prime polynomial?

Back

A prime polynomial is a polynomial that cannot be factored into simpler polynomials.