Factoring Trinomials

Front

What is a trinomial?

Back

A trinomial is a polynomial that consists of three terms, typically in the form ax² + bx + c.

Front

What does it mean to factor a trinomial?

Back

Factoring a trinomial means rewriting it as a product of two binomials.

Front

What is the general form of factoring a trinomial?

Back

The general form is (px + q)(rx + s), where p, q, r, and s are constants.

Front

How do you identify the coefficients in a trinomial?

Back

In the trinomial ax² + bx + c, 'a' is the coefficient of x², 'b' is the coefficient of x, and 'c' is the constant term.

Front

What is the first step in factoring a trinomial?

Back

The first step is to identify the coefficients a, b, and c from the trinomial.

Front

What is the significance of the product-sum method in factoring?

Back

The product-sum method involves finding two numbers that multiply to ac (the product of a and c) and add to b.

Front

Factor the trinomial: 3v² - 4v - 7

Back

(3v - 7)(v + 1) is the factored form.

Front

Factor the trinomial: n² + 16n + 63

Back

(n + 7)(n + 9) is the factored form.

Front

Factor the trinomial: 4n² - 17n - 15

Back

(n - 5)(4n + 3) is the factored form.

Front

Factor the trinomial: x² + 9x - 36

Back

(x + 12)(x - 3) is the factored form.