20 points

Divide f(x)2x³+3x²-4x-5 by g(x)x+2 and find quotient and remainder

f(x) = 2x³+3x²-4x-5

let x + 2 = 0

x = 2

f(x) = 2(2)*3 + 3(2)*2 - 4(2) - 5

= 2 × 8 + 3 × 4 - 4 × 2 - 5

= 16 + 12 - 8 - 5

= 15

↪Then the reminder is 15

☆...hope this helps...☆

_♡_Mashi_♡_

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

look at the picture i have filled out a table for it. hope this .