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

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

Factor the expression: 3v² + 3v - 7v - 7

Back

(3v-7)(v+1)

Front

Factor the expression: x³ - 4x² - 4x + 16

Back

(x-4)(x²-4)

Front

Factor the expression: 4p³ + 8p² + 3p + 6

Back

(4p²+3)(p+2)

Front

Factor the expression: x³ - 5x² + 5x - 25

Back

(x²+5)(x-5)

Front

How do you check if (x-3) is a factor of a polynomial?

Back

Use polynomial long division or synthetic division to see if the remainder is zero.

Front

What does it mean if a polynomial is not divisible by (x-c)?

Back

It means that (x-c) is not a factor of the polynomial.

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 is the significance of grouping in factoring?

Back

Grouping helps to identify common factors in different parts of the polynomial, making it easier to factor.