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 factor the expression 3x^2 + 15x + xy + 5y?

Back

You can factor it by grouping as (x + 5)(3x + y) or (3x + y)(x + 5).

Front

What is the factored form of the polynomial 4p^3 + 8p^2 + 3p + 6?

Back

The factored form is (4p^2 + 3)(p + 2).

Front

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

Back

The factored form is (x² - 2)(x + 7).

Front

How do you factor the expression 5n^3 - 10n^2 + 3n - 6?

Back

You can factor it as (5n^2 + 3)(n - 2).

Front

What is the factored form of x^3 - 4x^2 - 4x + 16?

Back

The factored form is (x - 4)(x^2 - 4).

Front

What is a common factor in the context of factoring polynomials?

Back

A common factor is a number or variable that divides two or more terms without leaving a remainder.

Front

What is the significance of the distributive property in factoring?

Back

The distributive property allows us to factor out common terms from a polynomial, making it easier to simplify and solve.

Tags

CCSS.7.EE.A.1

Front

What does it mean to factor a polynomial completely?

Back

Factoring a polynomial completely means breaking it down into irreducible factors, which cannot be factored further.