Class 10 Exam > Class 10 Questions > If p(x) is a polynomial of at least degree on...
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If p(x) is a polynomial of at least degree one and p(k) = 0, then k is known as
- a)value of p(x)
- b)zero of p(x)
- c)constant term of p(x)
- d)none of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If p(x) is a polynomial of at least degree one and p(k) = 0, then k is...
Let p(x) = ax + b
p(k) = ak + b = 0
∴ k is zero of p(x)
p(k) = ak + b = 0
∴ k is zero of p(x)
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Community Answer
If p(x) is a polynomial of at least degree one and p(k) = 0, then k is...
Explanation:
When we say that p(k) = 0, it means that the value of the polynomial p(x) at x = k is zero. In other words, k is a root or a zero of the polynomial.
Here are some key points to remember about zeros of a polynomial:
• Zeros are also known as roots or solutions of the polynomial equation.
• A zero of a polynomial is a value of x that makes the polynomial equal to zero.
• A polynomial of degree n has at most n distinct zeros.
• If a polynomial has real coefficients, then complex zeros occur in conjugate pairs.
Therefore, option B is the correct answer because k is a zero of p(x).
When we say that p(k) = 0, it means that the value of the polynomial p(x) at x = k is zero. In other words, k is a root or a zero of the polynomial.
Here are some key points to remember about zeros of a polynomial:
• Zeros are also known as roots or solutions of the polynomial equation.
• A zero of a polynomial is a value of x that makes the polynomial equal to zero.
• A polynomial of degree n has at most n distinct zeros.
• If a polynomial has real coefficients, then complex zeros occur in conjugate pairs.
Therefore, option B is the correct answer because k is a zero of p(x).
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