Factor 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.

Front

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

Back

(4p² + 3)(p + 2)

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial.

Front

What is the degree of the polynomial x - 3x⁴ - 4 + 10x²?

Back

4

Front

What is the first step in factoring by grouping?

Back

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

Front

How do you factor the expression 3v² + 3v - 7v - 7?

Back

(3v - 7)(v + 1)

Front

What is a polynomial?

Back

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

Front

What is the factored form of 30x³ + 15x² - 18x - 9?

Back

3(5x² - 3)(2x + 1)

Front

What does it mean to factor an expression?

Back

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

Front

What is the common factor in the expression 4p³ + 8p²?

Back

The common factor is 4p².