Respuesta :
Grouping is done based on the distributive property of multiplication over addition. The factorized form of given polynomial is (8x-1)(7x-1)
What is distributive property of multiplication over addition?
Suppose a, b and c are three numbers. Then we have:
[tex]a(b + c) = a\times b + a\times c[/tex]
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
The given polynomial is [tex]56x^2 - 8x - 7x + 1\\[/tex]
It can be grouped and factored as:
[tex]56x^2 - 8x - 7x + 1 = 8x \times 7x - 8x \times 1 - 7x + 1\\56x^2 - 8x - 7x + 1 = 8x(7x - 1) - 1(7x -1 )\\56x^2 - 8x - 7x + 1 = (7x - 1)(8x - 1) = (8x-1)(7x-1)[/tex]
Thus,
The factorized form of given polynomial is (8x-1)(7x-1)
Learn more about factors of a polynomial here:
https://brainly.com/question/16078564
