Factoring Trinomials

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?

Back

Identify the coefficients a, b, and c from the trinomial.

Front

How do you find two numbers that multiply to ac and add to b?

Back

Look for pairs of factors of ac that sum to b.

Front

Factor the trinomial: 5x^2 - 7x + 2

Back

(5x - 2)(x - 1)

Front

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

Back

(k + 4)(k - 6)

Front

Factor the trinomial: r^2 - 16r + 60

Back

(r - 6)(r - 10)

Front

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

Back

(n + 7)(n + 9)

Front

Factor the trinomial: 3v^2 - 4v - 7

Back

(3v - 7)(v + 1)