Concept-wise Practice

zeroes to polynomial MCQ Questions for Class 10

zeroes to polynomial se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

Practice Questions

2 questions tagged with zeroes to polynomial.

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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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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