Factoring by Grouping

Front

What is factoring by grouping?

Back

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

Front

What is the first step in factoring by grouping?

Back

The first step is to group the terms of the polynomial into pairs or sets that have common factors.

Front

How do you find the GCF (Greatest Common Factor) of two terms?

Back

To find the GCF, identify the highest power of each common variable and the largest coefficient that divides both terms.

Front

Factor the expression: 5n³ – 10n² + 3n – 6.

Back

(5n² + 3)(n – 2)

Front

Factor the expression: 7r³ – 8r² + 42r – 48.

Back

(r² + 6)(7r – 8)

Front

Factor the expression: 30x³ + 15x² – 18x – 9.

Back

3(5x² – 3)(2x + 1)

Front

What is the GCF of 42xy² and 28x³y?

Back

14xy

Front

Factor the expression: 20x³ – 25x² + 4x – 5.

Back

(5x² + 1)(4x – 5)

Front

What is a polynomial?

Back

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

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler components (factors) that, when multiplied together, give the original expression.