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yaroslaw [1]
2 years ago
6

Factor trinomial x^2n+10x^n+16​

Mathematics
1 answer:
iragen [17]2 years ago
8 0

Answer:

\large\boxed{x^{2n}+10x^n+16=(x^n+2)(x^n+8)}

Step-by-step explanation:

\text{Use}\ (a^n)^m=a^{nm}.\\\\x^{2n}+10x^n+16=(x^n)^2+10x^n+16=x^n\cdot x^n+2x^n+8x^n+16\\\\=x^n(x^n+2)+8(x^n+2)=(x^n+2)(x^n+8)

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Which equation represents each scenario
Mkey [24]

Answer:

if she question 1 spend $25 out of the $150, then you would do 150 sub 25 to get 125

Kevin has 10 signs. he's adding 5 signs, so divide 10 to 5 to get 2

Harvey has 5 in 1 minute, i would say in 2 minutes he'll have 10

Fran adds $25 to her $150 then she'll get $175.

Step-by-step explanation:

P= Parentheses  

E= Exponent      

M= Multiplication

D= Division

A= Addition

S= Subtraction

If this doesn't help then sorry , hope this helps.

4 0
2 years ago
Complete the steps to solve the polynomial equation x3 – 21x = –20. According to the rational root theorem, which number is a po
jeka94

Answer:

Zeroes : 1, 4 and -5.

Potential roots: \pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20.

Step-by-step explanation:

The given equation is

x^3-21x=-20

It can be written as

x^3+0x^2-21x+20=0

Splitting the middle terms, we get

x^3-x^2+x^2-x-20x+20=0

x^2(x-1)+x(x-1)-20(x-1)=0

(x-1)(x^2+x-20)=0

Splitting the middle terms, we get

(x-1)(x^2+5x-4x-20)=0

(x-1)(x(x+5)-4(x+5))=0

(x-1)(x+5)(x-4)=0

Using zero product property, we get

x-1=0\Rightarrow x=1

x-4=0\Rightarrow x=4

x+5=0\Rightarrow x=-5

Therefore, the zeroes of the equation are 1, 4 and -5.

According to rational root theorem, the potential root of the polynomial are

x=\dfrac{\text{Factor of constant}}{\text{Factor of leading coefficient}}

Constant = 20

Factors of constant ±1, ±2, ±4, ±5, ±10, ±20.

Leading coefficient= 1

Factors of leading coefficient ±1.

Therefore, the potential root of the polynomial are \pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20.

3 0
3 years ago
Area of a lake is 9/20 a square mile. The width is 1/5 the length. What is the length and the width.
katovenus [111]
Say, length =x mileWidth =.  x/5 milex*x/5=9/2020x*x=45x*x=45/20      =9/4x=3/2 mileLength =3/2 milesWidth=. 3/10 miles
3 0
3 years ago
What is x²+x-30 as a binomial?
Zolol [24]
X^2+x-30 -- find two numbers that add to one and multiply to -30, which would be 6 and -5. so now you have x^2+6x-5x-30. factor out x and 5 to get x(x+6)-5(x+6). so you get (x+6)*(x-5)
6 0
3 years ago
Read 2 more answers
Show how to use the distributive property to simplify 4(5+x)
nalin [4]

Answer:

20+4x

Step-by-step explanation:

Distributive property is quite easy to learn... its just multiplication in an easier form to visualize once you're used to using it.

To first start this problem you want to use the number 4 in the expression 4(5+x). You then want to multiply 4 by both terms inside of the parentheses. So you would do both 4*5 and 4*x. You would then get 20+4x because 4*5=20 and 4*x is just put together as 4x.

7 0
3 years ago
Read 2 more answers
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