Factoring

Front

What is the GCF of 18xy and 12x?

Back

6x

Front

Why can't we factor using difference of two squares for 49x² + 4y²?

Back

Because we can't factor using difference of two squares if it is addition sign.

Front

Factor d² - 10d + 25.

Back

(d - 5)(d - 5)

Front

Factor x² - 25.

Back

(x + 5)(x - 5)

Front

Factor completely: 2x² + 22x + 60.

Back

2(x + 5)(x + 6)

Front

What is the definition of factoring in algebra?

Back

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

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is a quadratic expression that can be factored into the square of a binomial.

Front

What is the difference of squares formula?

Back

a² - b² = (a + b)(a - b) where a and b are any expressions.

Front

How do you factor a quadratic expression in the form ax² + bx + c?

Back

Look for two numbers that multiply to ac and add to b, then rewrite and factor by grouping.

Front

What is the first step in factoring a polynomial?

Back

Identify and factor out the greatest common factor (GCF) if there is one.