Fractional coefficients are allowed. In \(\frac{1}{2}x^3+4x-6\), the powers of (x) are (3), (1), and (0).
Step 2
Why this answer is correct
The correct answer is A. \(\frac{1}{2}x^3+4x-6\). Fractional coefficients are allowed. In \(\frac{1}{2}x^3+4x-6\), the powers of (x) are (3), (1), and (0).
Step 3
Exam Tip
भिन्न गुणांक मान्य होते हैं। \(\frac{1}{2}x^3+4x-6\) में (x) की घातें (3), (1) और (0) हैं।
A. हां, क्योंकि \(\sqrt{11}\) वास्तविक गुणांक है/Yes, because \(\sqrt{11}\) is a real coefficient
Step 1
Concept
\(\sqrt{11}\) is only a coefficient and the powers of (x) are (3), (1), and (0). Therefore it is a polynomial.
Step 2
Why this answer is correct
The correct answer is A. हां, क्योंकि \(\sqrt{11}\) वास्तविक गुणांक है / Yes, because \(\sqrt{11}\) is a real coefficient. \(\sqrt{11}\) is only a coefficient and the powers of (x) are (3), (1), and (0). Therefore it is a polynomial.
Step 3
Exam Tip
\(\sqrt{11}\) केवल गुणांक है और (x) की घातें (3), (1), और (0) हैं। इसलिए यह बहुपद है।
The third expression is a polynomial because the powers are (3), (1), and (0). The highest power is (3).
Step 2
Why this answer is correct
The correct answer is C. \(-4x^3+\sqrt{5}x+8\). The third expression is a polynomial because the powers are (3), (1), and (0). The highest power is (3).
Step 3
Exam Tip
तीसरा व्यंजक बहुपद है क्योंकि घातें (3), (1) और (0) हैं। सबसे बड़ी घात (3) है।
A. \(x^2+4x+4\) क्योंकि घातें (2), (1), (0) हैं/\(x^2+4x+4\) because powers are (2), (1), (0)
Step 1
Concept
In \(x^2+4x+4\), all powers are non-negative integers. So it is a correct polynomial example.
Step 2
Why this answer is correct
The correct answer is A. \(x^2+4x+4\) क्योंकि घातें (2), (1), (0) हैं / \(x^2+4x+4\) because powers are (2), (1), (0). In \(x^2+4x+4\), all powers are non-negative integers. So it is a correct polynomial example.
Step 3
Exam Tip
\(x^2+4x+4\) में सभी घातें शून्य या धनात्मक पूर्णांक हैं। इसलिए यह सही बहुपद उदाहरण है।
In \(3x^4+\frac{x}{5}-6\), the powers of (x) are (4), (1), and (0). A fractional coefficient is valid.
Step 2
Why this answer is correct
The correct answer is C. \(3x^4+\frac{x}{5}-6\). In \(3x^4+\frac{x}{5}-6\), the powers of (x) are (4), (1), and (0). A fractional coefficient is valid.
Step 3
Exam Tip
\(3x^4+\frac{x}{5}-6\) में (x) की घातें (4), (1), और (0) हैं। भिन्न गुणांक मान्य होता है।
A. \(x^2+1\) क्योंकि घातें (2) और (0) हैं/\(x^2+1\) because powers are (2) and (0)
Step 1
Concept
In \(x^2+1\), the powers are (2) and (0), which are valid. The other options contain invalid powers.
Step 2
Why this answer is correct
The correct answer is A. \(x^2+1\) क्योंकि घातें (2) और (0) हैं / \(x^2+1\) because powers are (2) and (0). In \(x^2+1\), the powers are (2) and (0), which are valid. The other options contain invalid powers.
Step 3
Exam Tip
\(x^2+1\) में घातें (2) और (0) हैं जो मान्य हैं। बाकी विकल्पों में अमान्य घातें हैं।
