The factor of the polynomial 18x³ + 6x²y - 9x² - 3xy will be 3x(6x² - 2xy - 3x - y). Then the correct option is C.
<h3>What is a factorization?</h3>
It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The polynomial is given below.
⇒ 18x³ + 6x²y - 9x² - 3xy
Then the factor of the polynomial will be
⇒ 18x³ + 6x²y - 9x² - 3xy
⇒ 3x(6x² - 2xy - 3x - y)
More about the factorization link is given below.
brainly.com/question/6810544
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Answer:
Step-by-step explanation:
As per the question,
let us consider f(x) = tan(x).
We know that <u>The Maclaurin series is given by:</u>
So, differentiate the given function 3 times in order to find f'(x), f''(x) and f'''(x).
Therefore,
f'(x) = sec²x
f''(x) = 2 × sec(x) × sec(x)tan(x)
= 2 × sec²(x) × tan(x)
f'''(x) = 2 × 2 sec²(x) tan(x) tan(x) + 2 sec²(x) × sec²(x)
= 4sec²(x) tan²(x) + 2sec⁴(x)
= 6 sec⁴x - 4 sec² x
We then substitute x with 0, and find the values
f(0) = tan 0 = 0
f'(0) = sec²0 = 1
f''(0) = 2 × sec²(0) × tan(0) = 0
f'''(0) = 6 sec⁴0- 4 sec² 0 = 2
By putting all the values in the Maclaurin series, we get
Therefore, the expansion of tan x at x = 0 is
.
The answer is in the picture
Answer:
Median = 72
Step-by-step explanation:
To translate a figure on a coordinate plane, it is basically moving it so many units horizontally or so many units vertical by counting the amount of units you have on weather it is positive or negative. If it looks like (7,-2) The 7 is your x value, so you would move it 7 to the right and place your first point there and do that to the rest of your points. Now the -2 is your y value, so you would move your first point down 2 and do that to the rest of your points!
