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: x^2 - 16x + 48

Back

(x - 12)(x - 4)

Front

Factor the trinomial: v^2 + 3v - 88

Back

(v + 11)(v - 8)

Front

Factor the trinomial: x^2 + 9x - 36

Back

(x + 12)(x - 3)

Front

Factor the trinomial: n^2 + 16n + 63

Back

(n + 7)(n + 9)

Front

Factor the trinomial: x^2 + 7x - 30

Back

(x + 10)(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.