Factoring Mixed Review

Front

What is the factored form of 14x³ + 6x² − 21x - 9?

Back

(2x² − 3)(7x + 3)

Front

What is the factored form of 16a² - 25?

Back

(4a + 5)(4a − 5)

Tags

CCSS.HSA.APR.C.4

Front

What is the factored form of x² + 10x + 25?

Back

(x + 5)²

Tags

CCSS.HSA.APR.C.4

Front

What is the factored form of 3x² – 3x − 216?

Back

3(x − 9)(x + 8)

Front

What is the factored form of 5n³ + 5n² - 100n?

Back

5n(n + 5)(n − 4)

Front

Define factoring in algebra.

Back

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

Front

What is a common factor?

Back

A common factor is a number or expression that divides two or more numbers or expressions evenly.

Front

What is the difference of squares?

Back

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

Tags

CCSS.HSA.APR.C.4

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.

Tags

CCSS.HSA.APR.C.4

Front

What is the first step in factoring a polynomial?

Back

The first step is to look for a greatest common factor (GCF) among the terms.