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Polynomials

Madhya Pradesh Board · Class 10 · Mathematics

Flashcards for Polynomials — Madhya Pradesh Board Class 10 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.

111 questions44 flashcards5 concepts

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A labeled diagram illustrating the general form of a polynomial, distinguishing between real and complex polynomials by highlighting the nature of coefficients and variables. Also includes the definit
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44 Flashcards
Card 1Value of a polynomial

Solve: Find the value of p(2) for p(x) = x^2 - 3x - 4.

Answer

Step 1: Substitute x = 2 into p(x). Step 2: p(2) = 2^2 - 3(2) - 4 Step 3: p(2) = 4 - 6 - 4 = -6 Answer: p(2) = -6

Card 2बहुपद का मान

हल करें: p(x) = x^2 - 3x - 4 के लिए p(2) का मान ज्ञात कीजिए।

Answer

चरण 1: x = 2 को p(x) में रखें। चरण 2: p(2) = 2^2 - 3(2) - 4 चरण 3: p(2) = 4 - 6 - 4 = -6 उत्तर: p(2) = -6

Card 3Zeroes of a quadratic polynomial

Solve: Find p(-1) and p(4) for p(x) = x^2 - 3x - 4.

Answer

Step 1: Substitute x = -1. p(-1) = (-1)^2 - 3(-1) - 4 = 1 + 3 - 4 = 0 Step 2: Substitute x = 4. p(4) = 4^2 - 3(4) - 4 = 16 - 12 - 4 = 0 Answer: p(-1) = 0 and p(4) = 0

Card 4द्विघात बहुपद के शून्यक

हल करें: p(x) = x^2 - 3x - 4 के लिए p(-1) और p(4) ज्ञात कीजिए।

Answer

चरण 1: x = -1 को रखें। p(-1) = (-1)^2 - 3(-1) - 4 = 1 + 3 - 4 = 0 चरण 2: x = 4 को रखें। p(4) = 4^2 - 3(4) - 4 = 16 - 12 - 4 = 0 उत्तर: p(-1) = 0 और p(4) = 0

Card 5Zero of linear polynomial

Solve: Find the zeroes of the linear polynomial 2x + 3.

Answer

Step 1: Set the polynomial equal to 0. 2x + 3 = 0 Step 2: Subtract 3 from both sides. 2x = -3 Step 3: Divide by 2. x = -3/2 Answer: The zero is -3/2

Card 6रैखिक बहुपद का शून्यक

हल करें: रैखिक बहुपद 2x + 3 के शून्यक ज्ञात कीजिए।

Answer

चरण 1: बहुपद को 0 के बराबर रखिए। 2x + 3 = 0 चरण 2: दोनों पक्षों से 3 घटाइए। 2x = -3 चरण 3: 2 से भाग दीजिए। x = -3/2 उत्तर: शून्यक -3/2 है

Card 7Formula application: linear polynomial

When do you use the zero of a linear polynomial formula? Apply it to 5x - 10.

Answer

Use the formula k = -b/a for ax + b. Here, a = 5 and b = -10. Step 1: k = -(-10)/5 Step 2: k = 10/5 = 2 Answer: The zero is 2

Card 8सूत्र का अनुप्रयोग: रैखिक बहुपद

आप रैखिक बहुपद के शून्यक के सूत्र का उपयोग कब करते हैं? इसे 5x - 10 पर लागू कीजिए।

Answer

ax + b के लिए सूत्र k = -b/a का उपयोग कीजिए। यहाँ, a = 5 और b = -10 है। चरण 1: k = -(-10)/5 चरण 2: k = 10/5 = 2 उत्तर: शून्यक 2 है

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Frequently Asked Questions

What are the important topics in Polynomials for Madhya Pradesh Board Class 10 Mathematics?
Key topics in Polynomials include Polynomials - Full Chapter Concept Map, Polynomials Chapter — Complete Concept Map, How to Apply Zeroes-Coefficient Formulas Correctly. These are the concepts Madhya Pradesh Board Class 10 examiners draw on most — study them first, then practise related questions.
How to score full marks in Polynomials — Madhya Pradesh Board Class 10 Mathematics?
Understand the core concepts first, then work through the 111 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many flashcards are available for Polynomials?
There are 44 flashcards for Polynomials covering key definitions, formulas, and concepts. Use them daily for 10–15 minutes for best results.

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