Factoring With Grouping

Front

What is factoring with grouping?

Back

Factoring with grouping is a method used to factor polynomials by grouping terms with common factors together, allowing for easier simplification.

Front

What is the first step in factoring by grouping?

Back

The first step is to group the polynomial into two parts, typically the first two terms and the last two terms.

Front

How do you identify common factors in a polynomial?

Back

Look for the greatest common factor (GCF) in each group of terms and factor it out.

Front

What is the purpose of factoring a polynomial?

Back

Factoring a polynomial simplifies it, making it easier to solve equations or analyze its properties.

Front

Factor the polynomial: 20x³ - 28x² - 15x + 21

Back

(4x² - 3)(5x - 7)

Front

Factor the polynomial: 6x³ - 16x² + 21x - 56

Back

(2x² + 7)(3x - 8)

Front

What is the factored form of x³ + 7x² - 2x - 14?

Back

(x² - 2)(x + 7)

Front

Factor the polynomial: 5x³ - 10x² + 3x - 6

Back

(5x² + 3)(x - 2)

Front

Factor by grouping: 3x³ - x² + 6x - 2

Back

(x² + 2)(3x - 1)

Front

What is a polynomial?

Back

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