Factor by Grouping

Front

What is the process of factoring by grouping?

Back

Factoring by grouping involves rearranging and grouping terms in a polynomial to factor it into simpler binomials or monomials.

Front

What is the first step in factoring by grouping?

Back

The first step is to group the terms in pairs that have a common factor.

Front

How do you identify common factors in a polynomial?

Back

Common factors can be identified by looking for the greatest common factor (GCF) of the coefficients and the variables in each group.

Front

What is the significance of the greatest common factor (GCF) in factoring?

Back

The GCF is the largest factor that divides all terms in a polynomial, and factoring it out simplifies the expression.

Front

Can you factor the expression 5n³-10n²+3n-6 by grouping?

Back

Yes, it can be factored as (5n²+3)(n-2).

Front

What is the result of factoring the expression 20x³-25x²+4x-5?

Back

The expression factors to (5x²+1)(4x-5).

Front

What is the factored form of 7r³-8r²+42r-48?

Back

The factored form is (r²+6)(7r-8).

Front

How do you factor the expression 30x³+15x²-18x-9?

Back

You can factor it as 3(5x²-3)(2x+1).

Front

What is the factored form of 4p³+8p²+3p+6?

Back

The expression factors to (4p²+3)(p+2).

Front

What is a binomial?

Back

A binomial is a polynomial that consists of exactly two terms.