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If 1is zero of polynomial p(4)=ax^2-3(a-1)-1, then find the value of a...???
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If 1is zero of polynomial p(4)=ax^2-3(a-1)-1, then find the value of a...
Introduction: In this problem, we are given a polynomial p(x) and we have to find the value of a if 1 is a zero of the polynomial.
Given: p(x) = ax^2-3(a-1)-1 and 1 is a zero of p(x).
Solution:
Step 1: We know that if 1 is a zero of p(x), then p(1) = 0.
Step 2: Substituting x=1 in the given polynomial, we get:
p(1) = a(1)^2 - 3(a-1) - 1
=> p(1) = a - 3a + 3 - 1
=> p(1) = -2a + 2
Step 3: Since p(1) = 0 from step 1, we can equate the above expression to zero and solve for a:
-2a + 2 = 0
=> 2a = 2
=> a = 1
Step 4: Therefore, the value of a is 1.
Conclusion: Thus, we have found the value of a to be 1 if 1 is a zero of the given polynomial p(x).
Given: p(x) = ax^2-3(a-1)-1 and 1 is a zero of p(x).
Solution:
Step 1: We know that if 1 is a zero of p(x), then p(1) = 0.
Step 2: Substituting x=1 in the given polynomial, we get:
p(1) = a(1)^2 - 3(a-1) - 1
=> p(1) = a - 3a + 3 - 1
=> p(1) = -2a + 2
Step 3: Since p(1) = 0 from step 1, we can equate the above expression to zero and solve for a:
-2a + 2 = 0
=> 2a = 2
=> a = 1
Step 4: Therefore, the value of a is 1.
Conclusion: Thus, we have found the value of a to be 1 if 1 is a zero of the given polynomial p(x).
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If 1is zero of polynomial p(4)=ax^2-3(a-1)-1, then find the value of a...
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If 1is zero of polynomial p(4)=ax^2-3(a-1)-1, then find the value of a...???
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If 1is zero of polynomial p(4)=ax^2-3(a-1)-1, then find the value of a...??? 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 1is zero of polynomial p(4)=ax^2-3(a-1)-1, then find the value of a...??? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 1is zero of polynomial p(4)=ax^2-3(a-1)-1, then find the value of a...???.
If 1is zero of polynomial p(4)=ax^2-3(a-1)-1, then find the value of a...??? 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 1is zero of polynomial p(4)=ax^2-3(a-1)-1, then find the value of a...??? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 1is zero of polynomial p(4)=ax^2-3(a-1)-1, then find the value of a...???.
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