Factor the expression below. 25x^2+20x+4
a. (5x+2)(5x+2)
b. (25x-2)(x-2)
c. (5x-2)(5x-2)
d. (25x+2)(x+5)

9514 1404 393

  a. (5x+2)(5x+2)

Step-by-step explanation:

You will recognize that the first (25x^2) and last (4) terms are perfect squares. The middle term is double the product of the roots of those squares:

  2(5x)(2) = 20x

This means the given expression is a perfect square trinomial, and that it is the square of (5x+2). This matches the first choice.

  25x^2 +20x +4 = (5x +2)^2 = (5x +2)(5x +2)

Generically, ...

  (a +b)^2 = a^2 +2ab +b^2

Here, we have a=5x, b=2.

Thx for the points my friend

Step-by-step explanation:

2

step-by-2step explanation:

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral