Factoring Review!

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

Front

What is a trinomial?

Back

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

Front

What is the difference of squares?

Back

The difference of squares is a special factoring technique used for expressions in the form of a^2 - b^2, which can be factored as (a - b)(a + b).

Front

Factor the trinomial: x^2 - 8x + 15

Back

(x - 5)(x - 3)

Front

Factor the trinomial: x^2 + 9x - 36

Back

(x + 12)(x - 3)

Front

Factor the expression completely using difference of squares: 100x^2 - 1

Back

(10x - 1)(10x + 1)

Front

Factor the trinomial: x^2 - 16x + 48

Back

(x - 12)(x - 4)

Front

Factor the trinomial: x^2 + 12x + 36

Back

(x + 6)(x + 6)

Front

What is the first step in factoring a trinomial?

Back

The first step is to identify two numbers that multiply to the constant term (c) and add to the linear coefficient (b).

Front

What does it mean for an expression to be 'not factorable'?

Back

An expression is 'not factorable' if it cannot be expressed as a product of simpler polynomials with real coefficients.