Factor By Grouping Practice

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 factors.

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 20x³ - 25x² + 4x - 5?

Back

(5x² + 1)(4x - 5) is the factored form.

Front

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

Back

(x² - 2)(x + 7) is the factored form.

Front

What is the factored form of x³ - 5x² + 5x - 25?

Back

(x² + 5)(x - 5) is the factored form.

Front

How do you factor the expression 2x³ - 8x² - x + 4?

Back

(2x² - 1)(x - 4) is the factored form.

Front

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

Back

(4p² + 3)(p + 2) is the factored form.

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.

Front

What does it mean to factor an expression?

Back

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

Front

What is the significance of factoring in algebra?

Back

Factoring is significant because it simplifies expressions, makes solving equations easier, and helps in finding roots of polynomials.