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).