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What is the value of the polynomial P(x) = x2 - 3x + 2 when x = 2?
  • a)
    0
  • b)
    1
  • c)
    2
  • d)
    3
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
What is the value of the polynomial P(x) = x2 - 3x + 2 when x = 2?a)0b...
To find the value of the polynomial when x = 2, substitute 2 for x in the polynomial:
P(2) = (2)2 - 3(2) + 2
= 4 - 6 + 2
= 0.
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Community Answer
What is the value of the polynomial P(x) = x2 - 3x + 2 when x = 2?a)0b...
Understanding the Polynomial
To evaluate the polynomial P(x) = x² - 3x + 2 at x = 2, we need to substitute the value of x into the equation.
Step-by-Step Evaluation
1. Substitution
Replace x with 2 in the polynomial:
- P(2) = (2)² - 3(2) + 2
2. Calculating Each Term
- (2)² = 4
- -3(2) = -6
- So far, we have: 4 - 6 + 2
3. Simplifying the Expression
- Now, combine the terms:
- 4 - 6 = -2
- -2 + 2 = 0
Final Result
The value of P(2) is 0. Therefore, the correct answer is option 'A'.
Conclusion
- The polynomial P(x) = x² - 3x + 2 evaluates to 0 when x = 2.
- This is confirmed by following a systematic substitution and simplification process, illustrating the importance of careful calculations in polynomial evaluations.
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