Factoring Special Cases

Front

What is factoring in algebra?

Back

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

Front

What are special cases in factoring?

Back

Special cases in factoring refer to specific patterns or formulas that can be used to factor certain types of polynomials, such as perfect squares and the difference of squares.

Tags

CCSS.HSA.APR.C.4

Front

What is the difference of squares formula?

Back

The difference of squares formula states that a² - b² = (a - b)(a + b).

Tags

CCSS.HSA.APR.C.4

Front

How do you factor a perfect square trinomial?

Back

A perfect square trinomial can be factored using the formula a² + 2ab + b² = (a + b)² or a² - 2ab + b² = (a - b)².

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: 3x² - 75.

Back

3(x - 5)(x + 5).

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: x² + 24x + 144.

Back

(x + 12)².

Tags

CCSS.HSA.APR.C.4

Front

What is the factored form of x² - 169?

Back

(x - 13)(x + 13).

Tags

CCSS.HSA.APR.C.4

Front

What is the factored form of x² - 16?

Back

(x - 4)(x + 4).

Tags

CCSS.HSA.APR.C.4

Front

What is the factored form of x² - 25?

Back

(x - 5)(x + 5).

Tags

CCSS.HSA.APR.C.4

Front

What is the first step in factoring a polynomial?

Back

The first step in factoring a polynomial is to look for a common factor in all terms.