The sign would be negative
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:
x ≈ 28.8°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin x = 
= 
= 
, then
x = 
( ) ≈ 28.8° ( to the nearest tenth )
we know that
For a polynomial, if
x=a is a zero of the function, then
(x−a) is a factor of the function. The term multiplicity, refers to the number of times that its associated factor appears in the polynomial.
So
In this problem
If the cubic polynomial function has zeroes at 2, 3, and 5
then
the factors are
Part a) Can any of the roots have multiplicity?
The answer is No
If a cubic polynomial function has three different zeroes
then
the multiplicity of each factor is one
For instance, the cubic polynomial function has the zeroes
each occurring once.
Part b) How can you find a function that has these roots?
To find the cubic polynomial function multiply the factors and equate to zero
so
therefore
the answer Part b) is
the cubic polynomial function is equal to
(a) The lateral surface area of the prism is 720 sq units and the total surface area is 752 sq units.
(b) The lateral surface area of the cone is 136π sq units and the total surface area is 200π sq units.
(c) The lateral surface area of the cylinder is 242π sq units and the total surface area is 484π sq units.
<h3>
Lateral surface area of the prism</h3>
L.S.A = Ph
where;
- P is perimeter of the base
- h is height of the prism
h² = 17² - 8²
h² = 225
h = 15
L.S.A = (3 x 16) x 15 = 720 sq units
<h3>Total s
urface area of the prism</h3>
T.S.A = PH + 2B
T.S.A = 720 + 2(16) = 752 sq units
<h3>
Lateral surface area of the cone</h3>
L.S.A = πrt
where;
- t is the slant height = 17
r² = 17² - 15²
r² = 64
r = 8
L.S.A = π(8)(17) = 136π sq units
<h3>
Total surface area of the cone</h3>
T.S.A = πrt + πr²
T.S.A = 136π sq units + π(8)²
T.S.A = 200π sq units
<h3>
Lateral surface area of the cylinder</h3>
L.S.A = 2πrh
where;
- r is the radius of the cylinder = 11
- h is height of the cylinder = 11
L.S.A = 2π(11 x 11) = 242π sq units
<h3>Total
surface area of the cylinder</h3>
T.S.A = 2πrh + 2πr² = 2πr(r + h)
T.S.A = 2π(11)(11 + 11)
T.S.A = 484π sq units.
Thus, the lateral surface area of the prism is 720 sq units and the total surface area is 752 sq units.
- the lateral surface area of the cone is 136π sq units and the total surface area is 200π sq units.
- the lateral surface area of the cylinder is 242π sq units and the total surface area is 484π sq units.
Learn more about surface area here: brainly.com/question/76387
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