Hard Mathematics Polynomials Class 10 Level 23

यदि (p(x)=5(x+2)2(x-7)) है, तो ग्राफ कितने अलग बिंदुओं पर (x)-अक्ष से मिलेगा और कौन सा बिंदु स्पर्श होगा?

If (p(x)=5(x+2)2(x-7)), at how many distinct points will the graph meet the (x)-axis and which point will be a touching point?

Explanation opens after your attempt
Correct Answer

A. दो बिंदु, (x=-2) पर स्पर्शTwo points, touching at (x=-2)

Step 1

Concept

The zeroes are (-2) and (7), and ((x+2)2) causes touching at (-2). Tip: the outside (5) does not change the zeroes.

Step 2

Why this answer is correct

The correct answer is A. दो बिंदु, (x=-2) पर स्पर्श / Two points, touching at (x=-2). The zeroes are (-2) and (7), and ((x+2)2) causes touching at (-2). Tip: the outside (5) does not change the zeroes.

Step 3

Exam Tip

शून्यक (-2) और (7) हैं, तथा ((x+2)2) के कारण (-2) पर स्पर्श है। टिप: बाहरी (5) शून्यक नहीं बदलता।

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Mathematics Answer, Explanation and Revision Hints

यदि (p(x)=5(x+2)2(x-7)) है, तो ग्राफ कितने अलग बिंदुओं पर (x)-अक्ष से मिलेगा और कौन सा बिंदु स्पर्श होगा? / If (p(x)=5(x+2)2(x-7)), at how many distinct points will the graph meet the (x)-axis and which point will be a touching point?

Correct Answer: A. दो बिंदु, (x=-2) पर स्पर्श / Two points, touching at (x=-2). Explanation: शून्यक (-2) और (7) हैं, तथा ((x+2)2) के कारण (-2) पर स्पर्श है। टिप: बाहरी (5) शून्यक नहीं बदलता। / The zeroes are (-2) and (7), and ((x+2)2) causes touching at (-2). Tip: the outside (5) does not change the zeroes.

Which concept should I revise for this Mathematics MCQ?

The zeroes are (-2) and (7), and ((x+2)2) causes touching at (-2). Tip: the outside (5) does not change the zeroes.

What exam hint can help solve this Mathematics question?

शून्यक (-2) और (7) हैं, तथा ((x+2)2) के कारण (-2) पर स्पर्श है। टिप: बाहरी (5) शून्यक नहीं बदलता।

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