Algebra 2: Unit 5 Flashcard 1

Front

Fully Factor the Following: 25x² - 81

Back

(5x + 9)(5x - 9) - This is a difference of squares.

Front

Fully Factor the Following: q² - 121

Back

(q + 11)(q - 11) - This is a difference of squares.

Front

Factor completely: 9xyz + 3xy

Back

3xy(3z + 1) - Factor out the greatest common factor.

Front

Factor completely: k² - 2k - 24

Back

(k + 4)(k - 6) - Find two numbers that multiply to -24 and add to -2.

Front

Factor completely: 2n² + 17n - 30

Back

(2n - 3)(n + 10) - Use the AC method to factor.

Front

What is the difference of squares?

Back

A difference of squares is an expression of the form a² - b², which factors to (a + b)(a - b).

Front

How do you factor a trinomial of the form ax² + bx + c?

Back

Look for two numbers that multiply to ac and add to b, then use these to split the middle term.

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers.

Front

How do you factor by grouping?

Back

Group terms with common factors, factor out the GCF from each group, and then factor out the common binomial.

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is an expression of the form a² ± 2ab + b², which factors to (a ± b)².