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If 1 is a zero of polynomial p(x) = mx2
– 3(m – 1)x + 4, then find the value of m?
– 3(m – 1)x + 4, then find the value of m?
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If 1 is a zero of polynomial p(x) = mx2 – 3(m – 1)x + 4, then find the...
Given information:
- Zero of the polynomial p(x) is 1
- p(x) = mx^2 - 3(m - 1)x + 4
Solution:
Understanding the concept of zero of a polynomial:
- If a is a zero of a polynomial p(x), then p(a) = 0
- In this case, since 1 is a zero of p(x), we have p(1) = 0
Substitute x = 1 into the polynomial:
- p(x) = mx^2 - 3(m - 1)x + 4
- p(1) = m(1)^2 - 3(m - 1)(1) + 4
- 0 = m - 3(m - 1) + 4
Solve for m:
- 0 = m - 3m + 3 + 4
- 0 = -2m + 7
- 2m = 7
- m = 7/2
- Therefore, the value of m is 7/2 when 1 is a zero of the polynomial p(x).
Conclusion:
- The value of m is 7/2 when 1 is a zero of the polynomial p(x) = mx^2 - 3(m - 1)x + 4.
- Zero of the polynomial p(x) is 1
- p(x) = mx^2 - 3(m - 1)x + 4
Solution:
Understanding the concept of zero of a polynomial:
- If a is a zero of a polynomial p(x), then p(a) = 0
- In this case, since 1 is a zero of p(x), we have p(1) = 0
Substitute x = 1 into the polynomial:
- p(x) = mx^2 - 3(m - 1)x + 4
- p(1) = m(1)^2 - 3(m - 1)(1) + 4
- 0 = m - 3(m - 1) + 4
Solve for m:
- 0 = m - 3m + 3 + 4
- 0 = -2m + 7
- 2m = 7
- m = 7/2
- Therefore, the value of m is 7/2 when 1 is a zero of the polynomial p(x).
Conclusion:
- The value of m is 7/2 when 1 is a zero of the polynomial p(x) = mx^2 - 3(m - 1)x + 4.
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If 1 is a zero of polynomial p(x) = mx2 – 3(m – 1)x + 4, then find the value of m?
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If 1 is a zero of polynomial p(x) = mx2 – 3(m – 1)x + 4, then find the value of m? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If 1 is a zero of polynomial p(x) = mx2 – 3(m – 1)x + 4, then find the value of m? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 1 is a zero of polynomial p(x) = mx2 – 3(m – 1)x + 4, then find the value of m?.
If 1 is a zero of polynomial p(x) = mx2 – 3(m – 1)x + 4, then find the value of m? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If 1 is a zero of polynomial p(x) = mx2 – 3(m – 1)x + 4, then find the value of m? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 1 is a zero of polynomial p(x) = mx2 – 3(m – 1)x + 4, then find the value of m?.
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