Question 1/3
Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि (p(x)=x-3 -9x-2 +18x) है, तो ग्राफ के शून्यकों का माध्य क्या है?
If (p(x)=x-3 -9x-2 +18x), what is the mean of the zeroes of the graph?
#cubic factorization
#mean
#zeroes
A (3)
B (6)
C (9)
D \(\frac{18}{3}\)
Explanation opens after your attempt
Step 1
Concept
(p(x)=x(x-3)(x-6)), so the zeroes are (0), (3), (6), and the mean is (3). Tip: factor first.
Step 2
Why this answer is correct
The correct answer is A. (3). (p(x)=x(x-3)(x-6)), so the zeroes are (0), (3), (6), and the mean is (3). Tip: factor first.
Step 3
Exam Tip
(p(x)=x(x-3)(x-6)) है इसलिए शून्यक (0), (3), (6) और माध्य (3) है। टिप: पहले गुणनखंड करें।
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Question 2/3
Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि (p(x)=x-3 -7x-2 +10x) है, तो ग्राफ के शून्यकों का माध्य क्या है?
If (p(x)=x-3 -7x-2 +10x), what is the mean of the zeroes of the graph?
#cubic factorization
#mean
#zeroes
A \(\frac{7}{3}\)
B (7)
C (10)
D \(\frac{10}{3}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{7}{3}\)
Step 1
Concept
(p(x)=x(x-5)(x-2)), so the zeroes are (0), (2), (5), and the mean is \(\frac{7}{3}\). Tip: factor first.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{7}{3}\). (p(x)=x(x-5)(x-2)), so the zeroes are (0), (2), (5), and the mean is \(\frac{7}{3}\). Tip: factor first.
Step 3
Exam Tip
(p(x)=x(x-5)(x-2)) है, इसलिए शून्यक (0), (2), (5) और माध्य \(\frac{7}{3}\) है। टिप: पहले गुणनखंड करें।
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Question 3/3
Hard Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
यदि ग्राफ के (x)-अक्ष कटान ((m,0)), ((n,0)), ((r,0)) हैं तो शून्यकों का माध्य क्या होगा?
If the (x)-axis intersections of a graph are ((m,0)), ((n,0)), ((r,0)), what will be the mean of the zeroes?
#symbolic zeroes
#mean
#coordinates
A (m+n+r)
B \(\frac{m+n+r}{3}\)
C (mnr)
D (0)
Explanation opens after your attempt
Correct Answer
B. \(\frac{m+n+r}{3}\)
Step 1
Concept
The zeroes are (m), (n), (r), so the mean is \(\frac{m+n+r}{3}\). Tip: take the first coordinate even in symbolic points.
Step 2
Why this answer is correct
The correct answer is B. \(\frac{m+n+r}{3}\). The zeroes are (m), (n), (r), so the mean is \(\frac{m+n+r}{3}\). Tip: take the first coordinate even in symbolic points.
Step 3
Exam Tip
शून्यक (m), (n), (r) हैं इसलिए माध्य \(\frac{m+n+r}{3}\) है। टिप: प्रतीकात्मक बिंदुओं में भी पहला निर्देशांक लें।
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