Factoring by Grouping Review

Front

What is factoring by grouping?

Back

Factoring by grouping is a method used to factor polynomials by grouping terms with common factors and then factoring out the common binomial.

Front

What is the first step in factoring by grouping?

Back

The first step is to rearrange the polynomial into two groups that can be factored separately.

Front

How do you factor the expression 4p³ + 8p² + 3p + 6?

Back

Group the terms: (4p³ + 8p²) + (3p + 6) = 4p²(p + 2) + 3(p + 2) = (4p² + 3)(p + 2).

Front

What is the factored form of 4x² + 8x + 10?

Back

The factored form is 2(2x² + 4x + 5).

Front

What is the factored form of 6d⁴ + 9d³ - 12d²?

Back

The factored form is 3d²(2d² + 3d - 4).

Front

How do you simplify the product (x + 2)(x - 5)?

Back

Use the distributive property: x² - 5x + 2x - 10 = x² - 3x - 10.

Tags

CCSS.HSA.APR.A.1

Front

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

Back

Combine like terms: -4x³ + 15x² - 2x - 1.

Tags

CCSS.HSA.APR.A.1

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors, which can be simpler polynomials.

Front

What is a common factor?

Back

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