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zeroes to polynomial MCQ Questions for Class 10

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Practice Questions

2 questions tagged with zeroes to polynomial.

Question 1/2 Hard Mathematics Polynomials Irrational numbers and real numbers Class 10 Level 27

किस द्विघात बहुपद के शून्यक \(\sqrt{7}\) और \(-\sqrt{7}\) हैं?

Which quadratic polynomial has zeroes \(\sqrt{7}\) and \(-\sqrt{7}\)?

Explanation opens after your attempt
Correct Answer

B. \(x^2-7\)

Step 1

Concept

\(The sum of zeroes is (0) and product is (-7), so the polynomial is (x^2-7). Use (x^2-\)sumx+product) to form a polynomial from zeroes.

Step 2

Why this answer is correct

\(The correct answer is B. (x^2-7). The sum of zeroes is (0) and product is (-7), so the polynomial is (x^2-7). Use (x^2-\)sumx+product) to form a polynomial from zeroes.

Step 3

Exam Tip

शून्यकों का योग (0) और गुणनफल (-7) है, इसलिए बहुपद \(x^2-7\) है। \(शून्यकों से बहुपद बनाते समय (x^2-\)योगx+गुणनफल) प्रयोग करें।

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Question 2/2 Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(x)=x-2+px+q) का ग्राफ (x)-अक्ष को ((-2,0)) और ((5,0)) पर काटता है, तो (p) और (q) के मान क्या होंगे?

If the graph of (p(x)=x-2+px+q) cuts the (x)-axis at ((-2,0)) and ((5,0)), what will be the values of (p) and (q)?

Explanation opens after your attempt
Correct Answer

A. (p=-3, q=-10)

Step 1

Concept

The zeroes are (-2) and (5), so the polynomial is ((x+2)(x-5)=x-2-3x-10). Tip: form factors from graph intersections.

Step 2

Why this answer is correct

The correct answer is A. (p=-3, q=-10). The zeroes are (-2) and (5), so the polynomial is ((x+2)(x-5)=x-2-3x-10). Tip: form factors from graph intersections.

Step 3

Exam Tip

शून्यक (-2) और (5) हैं, इसलिए बहुपद ((x+2)(x-5)=x-2-3x-10) है। टिप: ग्राफ कटान से गुणनखंड बनाएं।

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