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If the product of two zeros of the polynomial f(x) = 2x3 + 6x2 – 4x + 9 is 3, then its third zero is
- a)9/2
- b)-3/2
- c)3/2
- d)-9/2
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If the product of two zeros of the polynomial f(x) = 2x3+ 6x2– 4...
f(x)=2x^3+6x^2–4x+9
a=2, b=6, c=-4, d=9
Let the zeroes of f(x) be x, y, z
Product of zeroes = -d/a
x*y*z = -9/2
3z = -9/2 (given x*y=3)
z = -3/2
Third zero = -3/2
Most Upvoted Answer
If the product of two zeros of the polynomial f(x) = 2x3+ 6x2– 4...
+ 4x is 2, find the third zero.
We can start by using Vieta's formulas, which state that the sum of the zeros of a polynomial is equal to -b/a and the product of the zeros is equal to c/a, where a, b, and c are the coefficients of the polynomial.
In this case, a = 2, b = 6, and c = 4, so we have:
Sum of zeros = -b/a = -6/2 = -3
Product of zeros = c/a = 4/2 = 2
Let the three zeros be r, s, and t. We know that rs = 2, so we can write:
t = 2/rs
t = 2/(rs)
t = 2/(2)
t = 1
Therefore, the third zero is 1.
We can start by using Vieta's formulas, which state that the sum of the zeros of a polynomial is equal to -b/a and the product of the zeros is equal to c/a, where a, b, and c are the coefficients of the polynomial.
In this case, a = 2, b = 6, and c = 4, so we have:
Sum of zeros = -b/a = -6/2 = -3
Product of zeros = c/a = 4/2 = 2
Let the three zeros be r, s, and t. We know that rs = 2, so we can write:
t = 2/rs
t = 2/(rs)
t = 2/(2)
t = 1
Therefore, the third zero is 1.
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If the product of two zeros of the polynomial f(x) = 2x3+ 6x2– 4x + 9 is 3, then its third zero isa)9/2b)-3/2c)3/2d)-9/2Correct answer is option 'B'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If the product of two zeros of the polynomial f(x) = 2x3+ 6x2– 4x + 9 is 3, then its third zero isa)9/2b)-3/2c)3/2d)-9/2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the product of two zeros of the polynomial f(x) = 2x3+ 6x2– 4x + 9 is 3, then its third zero isa)9/2b)-3/2c)3/2d)-9/2Correct answer is option 'B'. Can you explain this answer?.
If the product of two zeros of the polynomial f(x) = 2x3+ 6x2– 4x + 9 is 3, then its third zero isa)9/2b)-3/2c)3/2d)-9/2Correct answer is option 'B'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If the product of two zeros of the polynomial f(x) = 2x3+ 6x2– 4x + 9 is 3, then its third zero isa)9/2b)-3/2c)3/2d)-9/2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the product of two zeros of the polynomial f(x) = 2x3+ 6x2– 4x + 9 is 3, then its third zero isa)9/2b)-3/2c)3/2d)-9/2Correct answer is option 'B'. Can you explain this answer?.
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