Factoring Trinomials

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions.

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 GCF stand for in factoring?

Back

GCF stands for Greatest Common Factor, which is the largest factor that divides all terms in a polynomial.

Front

How do you factor the trinomial r^2 - 16r + 60?

Back

(r - 6)(r - 10) is the factored form.

Front

What is the result of factoring x^2 - 49?

Back

(x + 7)(x - 7) is the factored form.

Front

What is the relationship between factoring and multiplication?

Back

Factoring reverses the process of multiplication.

Front

What is the factored form of (x - 3)(x - 3)?

Back

(x - 3)^2 is another way to express it.

Front

What is the first step in factoring a trinomial?

Back

Identify the GCF of the terms in the trinomial.

Front

What is the factored form of 3x^2 - 9x - 120?

Back

3(x^2 - 3x - 40) is the first step; then factor the trinomial.

Front

What is the difference of squares?

Back

The difference of squares is a special factoring case where a^2 - b^2 = (a + b)(a - b).