The remainder of the given expression will be 66.
<h3>What is division?</h3>
Division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic.
The given polynomlal x⁴+3x³-6x²-12x-8 will be divided by x-3 so we need to find the remainder:-
x-3) x⁴+3x³-6x²-12x-8 ( x³-6x²+12x+24
x²-3x³
_______________
6x³-6x²-12x-8
6x³-18x²
________________________
12x²-12x-8
-12x²-36x
_____________________
24x-8
24x-72
_______________________
66
Hence the remainder of the given expression will be 66.
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Answer:
(a) 3
Step-by-step explanation:
Calculate the slope m of the line given using the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (0,3) and (x₂, y₂ ) = (3, 2)
m =
= - 
given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= 3 → (a)
Answer:
22/25
Step-by-step explanation:
66/75 = 22/25
Input into equation to confirm
75 · 22/25 = 66
1650/25 = 66
66 = 66, so we're right
Answer:
1/2 y - 1/3 x -1 = 0
Multiply through by the LCD -6 to clear the fractions and the negative coefficient with the 'x'.
-3y + 2x + 6 = 0
Then reorder
2x - 3y + 6 = 0
Step-by-step explanation: