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If ax2 + bx + c, a ≠ 0 is factorizable into product of two linear factors, then roots of ax2 + bx + c = 0 can be found by equating each factor to
  • a)
    2
  • b)
    -1
  • c)
    0
  • d)
    1
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
If ax2 + bx + c, a≠ 0is factorizable into product of two linear fac...
Quadratic equation axx+bx+c=0 has two roots, x1=−b+b2−4ac√2a and x2=−b−b2−4ac√2a. We can investigate their behavior when a→0 by calculating their limits. We assume b>0 (we can always mupltiply the equation by -1):

The last expression doesn't only depend on the sign of b but also on the sign of a, i.e. the direction from which we're approaching zero, so the limit does not exist. The one-sided limits are equal to +-∞.
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If ax2 + bx + c, a≠ 0is factorizable into product of two linear fac...
It seems like the rest of your question got cut off. Can you please provide the complete equation or finish your sentence so that I can assist you further?
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Read the extract given below and answer the questions that follows:There are many activities that are undertaken by directly using natural resources. When we produce a good by exploiting natural resources, it is an activity of the primary sector. Since most of the natural products we get are from agriculture, dairy, fishing, forestry, this sector is also called agriculture and related sector. The secondary sector covers activities in which natural products are changed into other forms through ways of manufacturing that we associate with industrial activity. It is the next step after primary. The product is not produced by nature but has to be made and therefore some process of manufacturing is essential. After primary and secondary, there is a third category of activities that falls under tertiary sector and is different from the above two. These are activities that help in the development of the primary and secondary sectors. These activities, by themselves, do not produce a good but they are an aid or a support for the production process. The various production activities in the primary, secondary and tertiary sectors produce a very large number of goods and services. Also, the three sectors have a large number of people working in them to produce these goods and services. The value of final goods and services produced in each sector during a particular year provides the total production of the sector for that year. And the sum of production in the three sectors gives what is called the Gross Domestic Product (GDP) of a country. It is the value of all final goods and services produced within a country during a particular year. GDP shows how big the economy is.Q. Which of the following statement is not true?

Read the extract given below and answer the questions that follows:There are many activities that are undertaken by directly using natural resources. When we produce a good by exploiting natural resources, it is an activity of the primary sector. Since most of the natural products we get are from agriculture, dairy, fishing, forestry, this sector is also called agriculture and related sector. The secondary sector covers activities in which natural products are changed into other forms through ways of manufacturing that we associate with industrial activity. It is the next step after primary. The product is not produced by nature but has to be made and therefore some process of manufacturing is essential. After primary and secondary, there is a third category of activities that falls under tertiary sector and is different from the above two. These are activities that help in the development of the primary and secondary sectors. These activities, by themselves, do not produce a good but they are an aid or a support for the production process. The various production activities in the primary, secondary and tertiary sectors produce a very large number of goods and services. Also, the three sectors have a large number of people working in them to produce these goods and services. The value of final goods and services produced in each sector during a particular year provides the total production of the sector for that year. And the sum of production in the three sectors gives what is called the Gross Domestic Product (GDP) of a country. It is the value of all final goods and services produced within a country during a particular year. GDP shows how big the economy is.Q. Production of a commodity, mostly through ways of manufacturing is an activity of which sector?

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If ax2 + bx + c, a≠ 0is factorizable into product of two linear factors, then roots ofax2 + bx + c = 0can be found by equating each factor toa)2b)-1c)0d)1Correct answer is option 'C'. Can you explain this answer?
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