Factoring Polynomials Review

Front

What is the Difference of Squares method in factoring?

Back

The Difference of Squares method is used to factor expressions of the form a² - b² into (a + b)(a - b).

Front

What is the Difference of 2 Cubes method in factoring?

Back

The Difference of 2 Cubes method is used to factor expressions of the form a³ - b³ into (a - b)(a² + ab + b²).

Front

What is the Sum of 2 Cubes method in factoring?

Back

The Sum of 2 Cubes method is used to factor expressions of the form a³ + b³ into (a + b)(a² - ab + b²).

Front

How do you factor out the GCF (Greatest Common Factor)?

Back

To factor out the GCF, identify the largest factor common to all terms in the polynomial and divide each term by this factor, then express the polynomial as the GCF multiplied by the remaining terms.

Front

Factor the polynomial: x² - 36

Back

(x + 6)(x - 6) using the Difference of Squares method.

Front

Factor the polynomial: n³ - 216

Back

(n - 6)(n² + 6n + 36) using the Difference of 2 Cubes method.

Front

Factor the polynomial: 3x² - 75

Back

3(x + 5)(x - 5) by factoring out the GCF first.

Front

Factor completely: 3x² + 18x + 15

Back

3(x + 5)(x + 1) by factoring out the GCF and then factoring the quadratic.

Front

Factor the polynomial: x³ + 512

Back

(x + 8)(x² - 8x + 64) using the Sum of 2 Cubes method.

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.