Polynomial is an expression that consists of indeterminates(variable) and coefficients. The multiplicity of 0 is 3, 2/3 is 1 and -4 is 1.
<h3>
What are polynomials?</h3>
Polynomial is an expression that consists of indeterminates(variable) and coefficients, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
Given polynomial equation q(x)=12x⁵+40x⁴-32x³, therefore, the factorised form of the equation will be,
![q(x)=12x^5+40x^4-32x^3\\\\q(x)=4x^3(3x^2+10x-8)\\\\q(x)=(4x^3-0)(3x^2+12x-2x-8)\\\\q(x)=(4x^3-0)[3x(x+4)-2(x+4)]\\\\q(x) = (4x^3-0)(3x-2)(x+4)](https://tex.z-dn.net/?f=q%28x%29%3D12x%5E5%2B40x%5E4-32x%5E3%5C%5C%5C%5Cq%28x%29%3D4x%5E3%283x%5E2%2B10x-8%29%5C%5C%5C%5Cq%28x%29%3D%284x%5E3-0%29%283x%5E2%2B12x-2x-8%29%5C%5C%5C%5Cq%28x%29%3D%284x%5E3-0%29%5B3x%28x%2B4%29-2%28x%2B4%29%5D%5C%5C%5C%5Cq%28x%29%20%3D%20%284x%5E3-0%29%283x-2%29%28x%2B4%29)
Therefore, the multiplicity of 0 is 3, 2/3 is 1 and -4 is 1.
Learn more about Polynomial:
brainly.com/question/17822016
#SPJ1
Answer:
a
The 95% confidence interval is 
b
The sample proportion is 
c
The critical value is 
d
The standard error is 
Step-by-step explanation:
From the question we are told that
The sample size is n = 200
The number of defective is k = 18
The null hypothesis is 
The alternative hypothesis is 
Generally the sample proportion is mathematically evaluated as
Given that the confidence level is 95% then the level of significance is mathematically evaluated as
Next we obtain the critical value of 
from the normal distribution table, the value is
Generally the standard of error is mathematically represented as
substituting values
The margin of error is
=> 
=> 
The 95% confidence interval is mathematically represented as
=> 
=>
210 is 21 groups of ten. 240 is 24 tens
Answer:
x = 
Step-by-step explanation:
Note that 
= 14
Expressed in exponent form as
= 14, thus
x =
