Can someone get this? Ive been trying and cant get it

Given :-

To Find :-

Answer :-

The roots of the function are 5 and -3 . In general we can write the Quadratic function with roots π and ∆ as ,

f(x) = ( x - π )(x-∆)

So on using this we have ,

f(x) = ( x -5)( x -(-3))

f(x) = (x-5)(x+3)

f(x) = x(x-5)+3(x-5)

f(x) = x² -5x +3x -15

f(x) = x² -2x -15

Hence the required answer is x² -2x -15.

answer: its the third option.

step-by-step explanation:

i just took the test.

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b