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:
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There is three sampling frame of students that cannot be sampled in the next Monday. This is Students who are skipping class cannot be sampled, Students who are on a school trip cannot be sampled, and Students who are out sick cannot be sampled.
Numerical reasoning tests are often done to assess a person's ability to solve or interpret numerical data. A good source to train numerical reasoning is the use of computer education software's that deals with numerical data, the use of textbooks, self test etc.
<h3>What is done in Numerical reasoning tests?</h3>
Here, an individual is often required to analyze numerical data and then they are expected to draw conclusions from the data, which is often presented in tabular or graphical forms.
A person can improve their numerical reasoning by;
- Do make a study schedule and keep to it.
- Do Practice as if you are going for a competition, etc.
A way that a person can improve their speed in an numerical test is to reduce the time it takes a person to take in the information that is shown in the numerical reasoning questions.
Learn more about numerical reasoning from
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Good evening.
This is a
incomplete quadratic equation, because it does not have the term
bx. Therefore, we can solve this faster with the following strategy:

Add
16 to both sides:

Take the square root:

Therefore:
Answer:
2/3
Step-by-step explanation: