Factoring Polynomials.

Front

What is factoring in mathematics?

Back

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

Front

Factor the polynomial: 5x² - 11x + 6

Back

(5x - 6)(x - 1)

Front

Find the factors of: x² + x - 6

Back

(x + 3)(x - 2)

Front

Factor the difference of squares: x² - 25

Back

(x + 5)(x - 5)

Front

Factor the expression: 18a² - 15a

Back

3a(6a - 5)

Front

Factor by using GCF: 8n³ + 2n²

Back

2n²(4n + 1)

Front

What is the difference of squares?

Back

The difference of squares is a special factoring pattern that applies to expressions of the form a² - b², which can be factored as (a + b)(a - b).

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is when the terms are arranged in descending order of their exponents.