Factor the following polynomial fully. 10x2 + 16x – 8

A. 2(5x – 4)(x + 1)
B. (2x + 4)(5x – 2)
C. (10x – 8)(x + 1)
D. 2(x + 2)(5x – 2)

2(x + 2)(5x-2)

Step-by-step explanation:

Here, we want to factorize the given polynomial

We have this as follows;

10x^2 + 20x - 4x -8

10x(x + 2) - 4(x + 2)

= (10x-4)(x + 2)

We can factor the first side by bringing out two and we will have;

10x-4 = 2(5x-2)

and hence;

2(x + 2)(5x-2)

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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