Answer:
Aditya evaluates the numerator of the expression when x = –1. He finds the remainder of the division to be –1
Step-by-step explanation:
– 12x¹⁷+ 3x⁵ – 9x² – 1 / x + 1
To obtain the answer to question, let us apply the remainder theorem. This is illustrated below:
Assume:
x + 1 = 0
Subtract 1 from both side
x + 1 – 1 = 0 – 1
x = – 1
Next, we shall substitute the value of x into – 12x¹⁷+ 3x⁵ – 9x² – 1. This is illustrated below:
– 12x¹⁷+ 3x⁵ – 9x² – 1
x = – 1
– 12(–1)¹⁷+ 3(–1)⁵ – 9(–1)² – 1
– 12(–1) + 3(–1) – 9(1) – 1
12 – 3 – 9 – 1
= –1
Thus, using the remainder theorem,
– 12x¹⁷+ 3x⁵ – 9x² – 1 / x + 1 will result to –1
The square root rounded up to the nearest integer, 6.
testing the values 1 through 6 for division into 36 we find factors of 36 which are : (1, 36)
(2, 18)
(3, 12)
(4, 9)
(6,6)
or in other words the sets would be : 1, 2 , 3, 4 , 6 , 9 , 12 , 18 , 36
Just let every x in f(x) be g(x)
it means:
f(g(x))=(2x^2+5)^2+(2x^2+5)+2
=4x^4+20x^2+25+2x^2+5+2
=4x^4+22x^2+32
So first we need the formula for a triangular prism
Which, since we have all of our number for base, and both heights, we can plug it intk our formula
When we calculate it, it comes out to be 1020 cubuc feet.
