Factor by Grouping

Front

What is Factor by Grouping?

Back

A method used to factor polynomials by grouping terms with common factors.

Front

How do you identify common factors in a polynomial?

Back

Look for terms that share a common variable or numerical coefficient.

Front

What is the first step in factoring by grouping?

Back

Group the terms of the polynomial into pairs.

Front

Factor the expression: x^2 + 12x - 3x - 36

Back

(x + 12)(x - 3)

Front

Factor the expression: 2n^2 + 10n + 3n + 15

Back

(2n + 3)(n + 5)

Front

Factor the expression: 6x^2 + 2x - 21x - 7

Back

(2x - 7)(3x + 1)

Front

Factor the expression: 7r^3 - 8r^2 + 42r - 48

Back

(r^2 + 6)(7r - 8)

Front

Factor the expression: 20x^3 - 25x^2 + 4x - 5

Back

(5x^2 + 1)(4x - 5)

Front

What is the significance of the middle term in a quadratic expression when factoring?

Back

The middle term helps in identifying pairs of factors that sum up to it.

Front

What is a polynomial?

Back

An expression consisting of variables and coefficients, combined using addition, subtraction, multiplication, and non-negative integer exponents.