Factoring Review

Front

What is factoring in algebra?

Back

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

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax^2 + bx + c.

Front

What is the difference of squares?

Back

The difference of squares is a special factoring pattern that states a^2 - b^2 = (a - b)(a + b).

Front

How do you factor a trinomial of the form x^2 + bx + c?

Back

To factor, find two numbers that multiply to c and add to b, then express as (x + m)(x + n).

Front

What is the factored form of x^2 + 9x + 18?

Back

(x + 3)(x + 6) is the factored form.

Front

What is the factored form of x^2 - 4?

Back

(x + 2)(x - 2) is the factored form.

Front

What is the factored form of k^2 - 2k - 24?

Back

(k + 4)(k - 6) is the factored form.

Front

What is the factored form of x^2 - 400?

Back

(x - 20)(x + 20) is the factored form.

Front

What is the first step in factoring a polynomial?

Back

The first step is to look for a common factor in all terms.

Front

What does it mean for a polynomial to be prime?

Back

A polynomial is prime if it cannot be factored into simpler polynomials with integer coefficients.