Factoring Review

Front

Factor x² – 16.

Back

(x + 4)(x – 4)

Front

Which expression shows the factors of: x² + 9x - 36?

Back

(x + 12)(x - 3)

Front

Factor by grouping: 4p³ + 8p² + 3p + 6.

Back

(4p² + 3)(p + 2)

Front

Factor completely: 3x² + 10x - 8.

Back

(3x - 2)(x + 4)

Front

Factor 4a² - 25.

Back

(2a + 5)(2a - 5)

Front

What is the difference of squares?

Back

A difference of squares is a² - b² = (a + b)(a - b).

Front

What is factoring by grouping?

Back

Factoring by grouping involves rearranging terms and factoring out common factors from pairs of terms.

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax² + bx + c.

Front

How do you factor a trinomial of the form x² + bx + c?

Back

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

Front

What is the first step in factoring a polynomial?

Back

Look for a common factor in all terms.