Fundamental of Algebra and Factoring Test

Front

What is the factored form of 4x² - 25?

Back

(2x + 5)(2x - 5)

Front

How many zeros does the function f(x) = x⁵ - 3x³ + x have?

Back

5

Front

Why can't we factor 49x² + 4y² using the difference of two squares?

Back

Because we can't factor using difference of two squares if it is addition sign.

Front

Factor by grouping: 5n³ - 10n² + 3n - 6

Back

(5n² + 3)(n - 2)

Front

Factor: x³ + 1

Back

(x + 1)(x² - x + 1)

Front

What is the difference of squares formula?

Back

a² - b² = (a + b)(a - b)

Front

What is the sum of cubes formula?

Back

a³ + b³ = (a + b)(a² - ab + b²)

Front

What is the product of a sum and difference?

Back

(a + b)(a - b) = a² - b²

Front

What does it mean for a polynomial to be factored completely?

Back

A polynomial is factored completely when it is expressed as a product of irreducible polynomials.

Front

What is the first step in factoring by grouping?

Back

Group terms in pairs and factor out the common factor from each pair.