Unit 6 Pre-Factoring Skills

Front

What is the GCF of 25 and 35?

Back

The GCF (Greatest Common Factor) of 25 and 35 is 5.

Front

What is the GCF of x^5 and x^7?

Back

The GCF of x^5 and x^7 is x^5.

Front

Choose the option that could be called a 'difference of perfect squares': x^2 + 6x + 8, 9x^4 + 16, x^3 - 10, x^2 - 25.

Back

The expression x^2 - 25 is a difference of perfect squares.

Front

Define GCF (Greatest Common Factor).

Back

The GCF is the largest positive integer that divides all the given numbers without leaving a remainder.

Front

What is a difference of squares?

Back

A difference of squares is an expression of the form a^2 - b^2, which can be factored into (a - b)(a + b).

Front

Factor the expression x^2 - 36.

Back

x^2 - 36 can be factored as (x - 6)(x + 6).

Front

What is the formula for factoring a perfect square trinomial?

Back

A perfect square trinomial can be factored using the formula a^2 ± 2ab + b^2 = (a ± b)^2.

Front

What is the GCF of 12, 15, and 21?

Back

The GCF of 12, 15, and 21 is 3.

Front

Factor the expression x^2 + 10x + 25.

Back

x^2 + 10x + 25 can be factored as (x + 5)(x + 5) or (x + 5)^2.

Front

What is the GCF of 8x^3 and 12x^5?

Back

The GCF of 8x^3 and 12x^5 is 4x^3.