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If the zeroes of the quadratic polynomial x ^ 2 + (a + 1) * x + bare 2 and -3, then
a. a = - 7, b = - 1
b a=5,b=-1
C a = 2, b = - 6
d. a = 0 b = - 6?
a. a = - 7, b = - 1
b a=5,b=-1
C a = 2, b = - 6
d. a = 0 b = - 6?
Most Upvoted Answer
If the zeroes of the quadratic polynomial x ^ 2 + (a + 1) * x + bare 2...
Explanation:
Given:
The quadratic polynomial is x^2 + (a + 1)x + b.
Given zeroes:
Let the zeroes be -3 and 2.
Using sum and product of zeroes:
Sum of zeroes = -3 + 2 = -1
Product of zeroes = -3 * 2 = -6
Comparing with the general form:
Sum of zeroes = -b/a = -1
Product of zeroes = c/a = -6
Solving for a and b:
From the sum of zeroes, we get:
-b/a = -1
b = a
From the product of zeroes, we get:
c/a = -6
b = -6a
Substitute b = a in b = -6a:
a = -6a
7a = 0
a = 0
Substitute a = 0 in b = a:
b = 0
Therefore, a = 0 and b = -6.
So, the correct option is:
d. a = 0, b = -6
Given:
The quadratic polynomial is x^2 + (a + 1)x + b.
Given zeroes:
Let the zeroes be -3 and 2.
Using sum and product of zeroes:
Sum of zeroes = -3 + 2 = -1
Product of zeroes = -3 * 2 = -6
Comparing with the general form:
Sum of zeroes = -b/a = -1
Product of zeroes = c/a = -6
Solving for a and b:
From the sum of zeroes, we get:
-b/a = -1
b = a
From the product of zeroes, we get:
c/a = -6
b = -6a
Substitute b = a in b = -6a:
a = -6a
7a = 0
a = 0
Substitute a = 0 in b = a:
b = 0
Therefore, a = 0 and b = -6.
So, the correct option is:
d. a = 0, b = -6
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If the zeroes of the quadratic polynomial x ^ 2 + (a + 1) * x + bare 2 and -3, thena. a = - 7, b = - 1b a=5,b=-1C a = 2, b = - 6d. a = 0 b = - 6?
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If the zeroes of the quadratic polynomial x ^ 2 + (a + 1) * x + bare 2 and -3, thena. a = - 7, b = - 1b a=5,b=-1C a = 2, b = - 6d. a = 0 b = - 6? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If the zeroes of the quadratic polynomial x ^ 2 + (a + 1) * x + bare 2 and -3, thena. a = - 7, b = - 1b a=5,b=-1C a = 2, b = - 6d. a = 0 b = - 6? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the zeroes of the quadratic polynomial x ^ 2 + (a + 1) * x + bare 2 and -3, thena. a = - 7, b = - 1b a=5,b=-1C a = 2, b = - 6d. a = 0 b = - 6?.
If the zeroes of the quadratic polynomial x ^ 2 + (a + 1) * x + bare 2 and -3, thena. a = - 7, b = - 1b a=5,b=-1C a = 2, b = - 6d. a = 0 b = - 6? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If the zeroes of the quadratic polynomial x ^ 2 + (a + 1) * x + bare 2 and -3, thena. a = - 7, b = - 1b a=5,b=-1C a = 2, b = - 6d. a = 0 b = - 6? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the zeroes of the quadratic polynomial x ^ 2 + (a + 1) * x + bare 2 and -3, thena. a = - 7, b = - 1b a=5,b=-1C a = 2, b = - 6d. a = 0 b = - 6?.
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