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Which of the following is the zero for the polynomial p(x) = -5x + 5?

  • a)
    -5

  • b)
    1

  • c)
    0

  • d)
    -1

Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Which of the following is the zero for the polynomial p(x) = -5x + 5?a...
If p(x) = -5x + 5 and -5x + 5 = 0, then -5x = -5. Furthermore, the outcome is x = –5/-5 which results in zero. Therefore, it is derived that the zero for the polynomial p(x) = -5x + 5 is zero, in accordance with the value of x which is zero. 
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Which of the following is the zero for the polynomial p(x) = -5x + 5?a...
Question:

Which of the following is the zero for the polynomial p(x) = -5x^5?

a) -5
b) 0
c) 1
d) -1

Answer:

Understanding the Question:


The question asks us to find the zero of the polynomial p(x) = -5x^5. In mathematics, the zero of a polynomial is the value of x that makes the polynomial equal to zero. In other words, it is the value of x for which p(x) = 0.

Solution:


To find the zero of the polynomial p(x) = -5x^5, we need to find the value of x that makes -5x^5 equal to zero.

Step 1: Set the Polynomial Equal to Zero


-5x^5 = 0

Step 2: Solve for x


To solve for x, we need to isolate x on one side of the equation. In this case, we can divide both sides of the equation by -5:

-5x^5 / -5 = 0 / -5

x^5 = 0

Step 3: Determine the Value of x


To find the value of x, we need to take the fifth root of both sides of the equation:

∛(x^5) = ∛0

x = 0

Conclusion:


The zero for the polynomial p(x) = -5x^5 is x = 0. Therefore, the correct answer is option 'B' (0).
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Which of the following is the zero for the polynomial p(x) = -5x + 5?a)-5b)1c)0d)-1Correct answer is option 'B'. Can you explain this answer?
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