Algebra 1: Factoring Polynomials, Double Grouping

Factor 20x2 + 25x - 12x - 15 by grouping. : (20x2 - 12x) + (25x- 15)4x(5x - 3) + 5(5x - 3)(5x - 3)(4x+5)

Use the drop-down menus to complete the statements about factoring 14x2 + 6x - 7x - 3 by grouping. : The GCF of the group (14x2 - 7x) is 7x.The GCF of the group (6x - 3) is 3. The common binomial factor is 2x-1.The factored expression is (7x+3)(2x-1).

Talia grouped the terms and factored out the GCF of the groups of the polynomial 15x2 - 3x - 20x + 4. Her work is shown below.1. (15x2 - 3x) + (-20x + 4)2. 3x(5x - 1) + 4(-5x + 1)Talia noticed that she does not have a common factor. What should she do? : Talia needs to factor out a negative from one of the groups so the binomials will be the same.

Factor the polynomial 4x4 - 20x2 - 3x2 + 15 by grouping. What is the resulting expression? : (4x2 - 3)(x2 - 5)

Factor 15x3 - 5x2 + 6x - 2 by grouping. What is the resulting expression? : (5x2 + 2)(3x - 1)

Which shows one way to determine the factors of x3 + 4x2 + 5x + 20 by grouping? : x2(x + 4) + 5(x + 4)