Question 1/2
Hard Mathematics
Chapter 2: Polynomials Irrational numbers and real numbers Class 10 Level 26
निम्न में से कौन सा बहुपद परिमेय गुणांकों वाला है और जिसके शून्यक \(1+\sqrt{2}\) तथा \(1-\sqrt{2}\) हैं?
Which polynomial has rational coefficients and zeroes \(1+\sqrt{2}\) and \(1-\sqrt{2}\)?
#forming polynomial
#conjugate roots
#hard
A \(x^2-2x-1\)
B \(x^2+2x-1\)
C \(x^2-x-2\)
D \(x^2-2x+3\)
Explanation opens after your attempt
Correct Answer
A. \(x^2-2x-1\)
Step 1
Concept
The sum is (2) and the product is (1-2=-1), so the polynomial is \(x^2-2x-1\). Keep signs correct in exams.
Step 2
Why this answer is correct
The correct answer is A. \(x^2-2x-1\). The sum is (2) and the product is (1-2=-1), so the polynomial is \(x^2-2x-1\). Keep signs correct in exams.
Step 3
Exam Tip
योग (2) और गुणनफल (1-2=-1), इसलिए बहुपद \(x^2-2x-1\) है। परीक्षा में चिन्हों को ठीक रखें।
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Question 2/2
Hard Mathematics
Chapter 2: Polynomials Irrational numbers and real numbers Class 10 Level 28
शून्यकों \(2+\sqrt{6}\) और \(2-\sqrt{6}\) वाला एक मानक द्विघात बहुपद कौन सा है?
Which monic quadratic polynomial has zeroes \(2+\sqrt{6}\) and \(2-\sqrt{6}\)?
#forming polynomial
#irrational zeroes
#quadratic
A \(x^2-4x-2\)
B \(x^2+4x-2\)
C \(x^2-2x+4\)
D \(x^2-4x+10\)
Explanation opens after your attempt
Correct Answer
A. \(x^2-4x-2\)
Step 1
Concept
The sum is (4) and the product is (4-6=-2), so the polynomial is \(x^2-4x-2\). Remember the formula \(x^2-Sx+P\).
Step 2
Why this answer is correct
The correct answer is A. \(x^2-4x-2\). The sum is (4) and the product is (4-6=-2), so the polynomial is \(x^2-4x-2\). Remember the formula \(x^2-Sx+P\).
Step 3
Exam Tip
योग (4) और गुणनफल (4-6=-2) है, इसलिए बहुपद \(x^2-4x-2\) है। परीक्षा में \(x^2-Sx+P\) सूत्र याद रखें।
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