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Find the zero of the polynomial of p (x) = ax + b ; a ≠ 0
- a)b/a
- b)a/b
- c)-b/a
- d)-a/b
Correct answer is 'C'. Can you explain this answer?
Most Upvoted Answer
Find the zero of the polynomial of p (x) = ax + b ; a ≠ 0a)b/ab)...
Finding the Zero of a Polynomial
To find the zero of a polynomial, we need to solve for x when p(x) = 0. In other words, we need to find the value of x that makes the polynomial equal to zero.
Given p(x) = ax^b, where a ≠ 0 and b ≥ 1, we need to find the zero of the polynomial.
Solution
To find the zero of the polynomial, we need to solve for x when p(x) = 0. Substituting the given polynomial, we get:
ax^b = 0
Since a ≠ 0 and b ≥ 1, we know that the only value of x that satisfies the equation is x = 0. Therefore, the zero of the polynomial is x = 0.
Option (c) is the correct answer, as it corresponds to x = 0.
Explanation
The given polynomial p(x) = ax^b has only one term, which is ax^b. This term can only equal zero if x = 0, since any non-zero value of x raised to a positive power will be non-zero.
Therefore, the zero of the polynomial is x = 0, which corresponds to option (c).
To find the zero of a polynomial, we need to solve for x when p(x) = 0. In other words, we need to find the value of x that makes the polynomial equal to zero.
Given p(x) = ax^b, where a ≠ 0 and b ≥ 1, we need to find the zero of the polynomial.
Solution
To find the zero of the polynomial, we need to solve for x when p(x) = 0. Substituting the given polynomial, we get:
ax^b = 0
Since a ≠ 0 and b ≥ 1, we know that the only value of x that satisfies the equation is x = 0. Therefore, the zero of the polynomial is x = 0.
Option (c) is the correct answer, as it corresponds to x = 0.
Explanation
The given polynomial p(x) = ax^b has only one term, which is ax^b. This term can only equal zero if x = 0, since any non-zero value of x raised to a positive power will be non-zero.
Therefore, the zero of the polynomial is x = 0, which corresponds to option (c).
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Community Answer
Find the zero of the polynomial of p (x) = ax + b ; a ≠ 0a)b/ab)...
p(x) = ax
p(x) = 0
ax = 0
x = 0/a
x = 0
{0 by something is equals to 0}
Therefore,0 is the zero of the polynomial.
Checking:-
p(0) = a(0)
= 0
p(x) = 0
ax = 0
x = 0/a
x = 0
{0 by something is equals to 0}
Therefore,0 is the zero of the polynomial.
Checking:-
p(0) = a(0)
= 0
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