HELP WITH MATH ASAP! WILL GIVE BRAINLIEST!

(x - 4)

Step-by-step explanation:

Given

(2x - 5)² + 3(2x - 5) - 18 ← expand (2x - 5)² using FOIL

= 4x² - 20x + 25 + 6x - 15 - 18 ← collect like terms

= 4x² - 14x - 8 ← factor out 2 from each term

= 2(2x² - 7x - 4) ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 4 = - 8 and sum = - 7

The factors are - 8 and + 1

Use these factors to split the x- term

2x² - 8x + x - 4 ( factor the first/second and third/fourth terms )

= 2x(x - 4) + 1(x - 4) ← factor out (x - 4) from each term

= (x - 4)(2x + 1)

Thus

(2x - 5)² + 3(2x - 5) - 18

= 2(x - 4)(2x + 1)

with (x - 4) as one of the factors

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.

1/800 is the right answer