Factoring a Trinomial when A is 1

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax² + 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 trinomial?

Back

The standard form of a trinomial is ax² + bx + c, where a, b, and c are constants.

Front

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

Back

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

Front

Factor the trinomial: x² + 9x - 36

Back

(x + 12)(x - 3)

Front

Factor the trinomial: x² - 8x + 15

Back

(x - 5)(x - 3)

Front

Factor the trinomial: r² - 16r + 60

Back

(r - 6)(r - 10)

Front

Factor the trinomial: n² + 5n - 6

Back

(n - 1)(n + 6)

Front

Factor the trinomial: x² + 7x + 12

Back

(x + 3)(x + 4)

Front

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

Back

The sum of the factors equals the coefficient of the x term, and the product equals the constant term.