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The number of polynomials having zeros -3 and 5 is
Building Polynomials with Specified Zeros Step 1: Learning Polynomial Building - Provided zeros: -3 and 5 - Simple polynomial form: (x + 3)(x - 5) - Expanding: x² - 2x - 15 Step 2: Freedom Degree Polynomials may be formed by multiplying the simple form by any non-zero constant. Possible Polynomials:Read more
Building Polynomials with Specified Zeros
Step 1: Learning Polynomial Building
– Provided zeros: -3 and 5
– Simple polynomial form: (x + 3)(x – 5)
– Expanding: x² – 2x – 15
Step 2: Freedom Degree
Polynomials may be formed by multiplying the simple form by any non-zero constant.
Possible Polynomials:
1. x² – 2x – 15
2. 2x² – 4x – 30
3. 3x² – 6x – 45
General Form:
For any non-zero constant k:
k(x² – 2x – 15)
Mathematical Insight:
– The k is the parameter for infinite scaling of the polynomial
– Each scale produces a different polynomial with the same zeros
– These are actually the same polynomial to a constant factor
Step 3: Counting Polynomials
– We can make polynomials with these zeros by multiplying the fundamental form
by any real number
– This produces an infinite number of polynomials
Conclusion
There are MORE THAN 3 polynomials with zeros -3 and 5.
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Which is incorrect out of the following?
The incorrect statement out of the given options is: (a) Democratic government ensures instability. Explanation: Democracy is often criticized for being slow in decision-making due to debates and discussions, but it does not inherently ensure instability. Stable democracies like the USA, UK, and IndRead more
The incorrect statement out of the given options is: (a) Democratic government ensures instability.
Explanation: Democracy is often criticized for being slow in decision-making due to debates and discussions, but it does not inherently ensure instability. Stable democracies like the USA, UK, and India have functioned effectively for decades.
While some democracies face political instability, instability is not a defining feature of democracy. This question related to Chapter 1 Social Science Class 9th NCERT. From the Chapter 1 What is Democracy? Why Democracy?. Give answer according to your understanding.
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Which is incorrect out of the following?
The incorrect statement is: (d) Democratic government has the freedom to not abide by the rights of the citizens of the country. Explanation: A democratic government is bound to protect and uphold the rights of its citizens. Fundamental rights such as freedom of speech, equality, and the right to voRead more
The incorrect statement is: (d) Democratic government has the freedom to not abide by the rights of the citizens of the country. Explanation: A democratic government is bound to protect and uphold the rights of its citizens. Fundamental rights such as freedom of speech, equality, and the right to vote are crucial in a democracy. Any government that does not respect citizens’ rights is considered authoritarian, not democratic. This question related to Chapter 1 Social Science Class 9th NCERT. From the Chapter 1 What is Democracy? Why Democracy?. Give answer according to your understanding.
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Zimbabwe was not truly a democratic country because:
The correct answer is: (a) President Mugabe did not follow the Rule of Law. Explanation: In a true democracy, leaders must follow the rule of law, ensuring justice, equality, and fair governance. Robert Mugabe ruled Zimbabwe autocratically, suppressing opposition, controlling the media, and manipulaRead more
The correct answer is: (a) President Mugabe did not follow the Rule of Law.
Explanation: In a true democracy, leaders must follow the rule of law, ensuring justice, equality, and fair governance.
Robert Mugabe ruled Zimbabwe autocratically, suppressing opposition, controlling the media, and manipulating elections to stay in power. While elections were held, they were not free and fair, meaning Zimbabwe lacked true democratic principles. This question related to Chapter 1 Social Science Class 9th NCERT. From the Chapter 1 What is Democracy? Why Democracy?. Give answer according to your understanding.
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Mexico cannot be considered as a democratic country, despite conducting regular elections in the country :
The correct answer is: (c) The ruling party of Mexico used to resort to corrupt activities to win elections. Explanation: Although Mexico held regular elections, it was not truly democratic because the ruling party, PRI (Institutional Revolutionary Party), used unfair means to stay in power. OppositRead more
The correct answer is: (c) The ruling party of Mexico used to resort to corrupt activities to win elections.
Explanation: Although Mexico held regular elections, it was not truly democratic because the ruling party, PRI (Institutional Revolutionary Party), used unfair means to stay in power. Opposition parties faced repression, election fraud, and lack of a fair playing field. The PRI used government resources, media control, and vote-rigging to manipulate election results. This question related to Chapter 1 Social Science Class 9th NCERT. From the Chapter 1 What is Democracy? Why Democracy?. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-9/social-science/