Factoring Trinomials a = 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 standard form of a quadratic equation?

Back

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

Front

What is the first step in factoring a trinomial when a = 1?

Back

Identify two numbers that multiply to c and add to b.

Front

Factor the trinomial: d^2 - 10d + 25

Back

(d - 5)(d - 5)

Front

Factor the trinomial: k^2 - 2k - 24

Back

(k + 4)(k - 6)

Front

Factor the trinomial: n^2 - 13n + 40

Back

(n - 5)(n - 8)

Front

Factor the trinomial: x^2 + 11x + 24

Back

(x + 8)(x + 3)

Front

Factor the trinomial: x^2 - 8x + 15

Back

(x - 5)(x - 3)

Front

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

Back

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