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If p(x) = x^4-x^2 x then find value of p(1/2) ?
Verified Answer
If p(x) = x^4-x^2 x then find value of p(1/2) ?
P(1/2)=(1/2)^4-(1/2)^2+1/2
p(1/2)=1/16-1/4+1/2=1-4+8/16=5/16
hence p(1/2)=5/16
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If p(x) = x^4-x^2 x then find value of p(1/2) ?
Problem:
If p(x) = x^4 - x^2x, find the value of p(1/2).
Solution:
To find the value of p(1/2), we substitute x = 1/2 into the given polynomial expression p(x) = x^4 - x^2x.
Step 1: Substitute x = 1/2 into the polynomial expression p(x) = x^4 - x^2x.
p(1/2) = (1/2)^4 - (1/2)^2(1/2)
Step 2: Simplify the expression.
p(1/2) = 1/16 - 1/4 * 1/2
Step 3: Simplify the expression.
p(1/2) = 1/16 - 1/8
Step 4: Find the common denominator.
The common denominator for 16 and 8 is 16.
Step 5: Rewrite the fractions with the common denominator.
p(1/2) = 1/16 - 2/16
Step 6: Subtract the fractions.
p(1/2) = (1 - 2)/16
Step 7: Simplify the numerator.
p(1/2) = -1/16
Therefore, the value of p(1/2) is -1/16.
If p(x) = x^4 - x^2x, find the value of p(1/2).
Solution:
To find the value of p(1/2), we substitute x = 1/2 into the given polynomial expression p(x) = x^4 - x^2x.
Step 1: Substitute x = 1/2 into the polynomial expression p(x) = x^4 - x^2x.
p(1/2) = (1/2)^4 - (1/2)^2(1/2)
Step 2: Simplify the expression.
p(1/2) = 1/16 - 1/4 * 1/2
Now, let's simplify further:
Step 3: Simplify the expression.
p(1/2) = 1/16 - 1/8
To subtract these fractions, we need to find a common denominator:
Step 4: Find the common denominator.
The common denominator for 16 and 8 is 16.
Step 5: Rewrite the fractions with the common denominator.
p(1/2) = 1/16 - 2/16
Step 6: Subtract the fractions.
p(1/2) = (1 - 2)/16
Now, we simplify the numerator:
Step 7: Simplify the numerator.
p(1/2) = -1/16
Therefore, the value of p(1/2) is -1/16.
Community Answer
If p(x) = x^4-x^2 x then find value of p(1/2) ?
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If p(x) = x^4-x^2 x then find value of p(1/2) ? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about If p(x) = x^4-x^2 x then find value of p(1/2) ? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If p(x) = x^4-x^2 x then find value of p(1/2) ?.
If p(x) = x^4-x^2 x then find value of p(1/2) ? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about If p(x) = x^4-x^2 x then find value of p(1/2) ? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If p(x) = x^4-x^2 x then find value of p(1/2) ?.
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