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Gwar [14]
3 years ago
10

Factor the polynomial completely

Mathematics
1 answer:
topjm [15]3 years ago
8 0
----------------------------------
Question
----------------------------------
3n⁵ - 48n³ 

----------------------------------
Take out common factors
----------------------------------
3n³(n² - 16)

----------------------------------
Form two perfect squares
----------------------------------
3n³(n² - 4²)

----------------------------------
Factorise the perfect square
----------------------------------
3n³(n - 4)(n + 4)



----------------------------------
Answer : 3n³(n - 4)(n + 4)
----------------------------------
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What is a cubic polynomial function with zeros 3,3 and -3? show your work.​
Brums [2.3K]

Answer:

Cubic polynomial function with zeros 3,3 and -3 is \mathbf{x^3-3x^2-9x+27=0}

Step-by-step explanation:

We need to find a cubic polynomial function with zeros 3,3 and -3.

If zeros of polynomial are: 3,3,and -3

we can write:

x=3, x=3, x=-3

Or

We can write:

x-3=0, x-3=0, x+3=0

Now, we can write them as:

(x-3)(x-3)(x+3)=0

Multiplying the terms, we can find the polynomial:

(x-3)(x-3)(x+3)=0\\(x(x-3)-3(x-3))(x+3)=0\\(x^2-3x-3x+9)(x+3)=0\\(x^2-6x+9)(x+3)=0\\x(x^2-6x+9)+3(x^2-6x+9)=0\\x^3-6x^2+9x+3x^2-18x+27=0\\x^3-6x^2+3x^2+9x-18x+27=0\\x^3-3x^2-9x+27=0

So, cubic polynomial function with zeros 3,3 and -3 is \mathbf{x^3-3x^2-9x+27=0}

4 0
2 years ago
"A class of 30 students took midterm science exams. 20 students passed the chemistry exam, 14 students passed physics, and 6 stu
katen-ka-za [31]
The answer is the letter B 
4 0
3 years ago
Read 2 more answers
2. If the area of a square is 49 inches squared, what is the side length?
Troyanec [42]
The side length should be 7 because 7*7=49 and the area of a rectangle is A=length*width
3 0
2 years ago
Fatema is making three hanging lanterns. They are each in the shape of a cone with a base radius of 0.5 feet and a slant height
Anastasy [175]

Answer:

9.42\ ft^{2}

Step-by-step explanation:

step 1

Find the surface area of one hanging lantern

we know that

The surface area of a cone (hanging lantern) is equal to

SA=\pi r^{2} +\pi rl

we have

r=0.5\ ft

l=1.5\ ft

assume

\pi=3.14

substitute the values

SA=(3.14)(0.5)^{2} +(3.14)(0.5)(1.5)

SA=3.14\ ft^{2}

step 2

Find the surface area of the three hanging lanterns

SA=(3)*3.14=9.42\ ft^{2}

6 0
2 years ago
What is the domain of the function y= square root of x+6-7?
Rashid [163]
Domain of y = sqrt(x + 6) - 7 <br><br>
Finding domain is trying to check the following valid conditions <br>
<br>
condition 1: check for x such that the value in square root must greater or equal to 0 <br>(applicable here) <br>x + 6 >= 0<br>x > -6  ... this is the answer<br><br>
condition 2: check for x such that the divisor must not be zero <br>(not applicable here)   <br><br>
condition 3(misc) : check some functions <br>for example ... log(0) is invalid...<br>
8 0
3 years ago
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