Factoring Trinomials a=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 standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants.

Front

What is the relationship between the coefficients and the 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 - 8x + 15?

Back

The trinomial factors to (x - 5)(x - 3).

Front

What is the factored form of b^2 + 8b + 7?

Back

The factored form is (b + 7)(b + 1).

Front

How do you factor the trinomial x^2 + 12x + 35?

Back

The trinomial factors to (x + 5)(x + 7).

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is a trinomial that can be expressed as the square of a binomial, such as (a + b)^2 = a^2 + 2ab + b^2.

Front

How do you factor the trinomial d^2 - 10d + 25?

Back

The trinomial factors to (d - 5)(d - 5) or (d - 5)^2.

Front

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

Back

The factored form is (n - 5)(n - 8).