Factor By Grouping

Front

What is Factor By Grouping?

Back

A method used to factor polynomials by grouping terms with common factors.

Front

What is the first step in factoring by grouping?

Back

Group the terms of the polynomial into pairs.

Front

How do you factor the expression 5n³-10n²+3n-6?

Back

(5n²+3)(n-2) using factor by grouping.

Front

What is the result of simplifying (3x³+9x²-2x)−(7x³-6x²+1)?

Back

-4x³+15x²-2x-1.

Front

What is the standard form of a polynomial?

Back

A polynomial is in standard form when its terms are arranged in descending order of their degree.

Front

How do you factor the expression x³+7x²-2x-14?

Back

(x²-2)(x+7) using factor by grouping.

Front

What is the product of (x+2)(x-5)?

Back

x²-3x-10.

Front

What does it mean to simplify a polynomial?

Back

To combine like terms and express the polynomial in its simplest form.

Front

What is a common factor?

Back

A number or expression that divides two or more numbers or expressions without leaving a remainder.

Front

How do you identify common factors in a polynomial?

Back

Look for terms that share the same variables and coefficients.