11-21 Factoring TEST

Front

What is the factored form of 3x² - 75?

Back

3(x + 5)(x - 5)

Front

How do you factor 4x³ + 2x² - 6x?

Back

2x(2x + 3)(x - 1)

Front

What is the factored form of x³ + 512?

Back

(x + 8)(x² - 8x + 64)

Front

Factor completely: 4x² + 24x - 64.

Back

4(x + 8)(x - 2)

Front

What is the factored form of 8x² - 200?

Back

8(x + 5)(x - 5)

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 prime polynomial?

Back

A prime polynomial is a polynomial that cannot be factored into simpler polynomials with integer coefficients.

Front

What is the difference of squares formula?

Back

a² - b² = (a + b)(a - b) for any real numbers a and b.

Front

What is the sum of cubes formula?

Back

a³ + b³ = (a + b)(a² - ab + b²) for any real numbers a and b.

Front

What is the product of sums formula?

Back

(a + b)(c + d) = ac + ad + bc + bd for any real numbers a, b, c, and d.