Factoring Polynomials

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into a product of simpler factors that, when multiplied together, give the original expression.

Front

What is a polynomial?

Back

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

Front

What does GCF stand for in factoring?

Back

GCF stands for Greatest Common Factor, which is the largest factor that divides two or more numbers or terms.

Front

How do you factor a difference of squares?

Back

A difference of squares can be factored using the formula a² - b² = (a + b)(a - b).

Front

What is the formula for factoring a perfect square trinomial?

Back

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

Front

Factor the polynomial: 25x² - 81

Back

(5x + 9)(5x - 9)

Front

What is the first step in factoring a polynomial?

Back

The first step is to check if there is a GCF (Greatest Common Factor) among the terms.

Front

Factor the polynomial: 64x³ + 125

Back

(4x + 5)(16x² - 20x + 25)

Front

What is the sum of cubes formula?

Back

The sum of cubes can be factored using the formula a³ + b³ = (a + b)(a² - ab + b²).

Front

Factor the polynomial: x² + 9x - 36

Back

(x + 12)(x - 3)