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Algebraic Expressions And Polynomials — Flashcards

NIOS · Class 10 · Maths

26 flashcards for Algebraic Expressions And Polynomials (NIOS Class 10 Maths) to test yourself on key terms and facts.

30 questions26 flashcards9 formulas & key relations5 concepts

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A comparison chart highlighting the differences and extensions of algebra over arithmetic, focusing on the use of numbers vs. literal numbers (variables) and their implications for precision, generali
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26 Flashcards·
Evaluation of polynomialsZero of a polynomialLike termsAddition of polynomials
Card 1Evaluation of polynomials

Solve the substitution: Evaluate 1 - x^5 + 2x^6 + 7x when x = 1/2.

Answer

Step 1: Substitute x = 1/2 1 - (1/2)^5 + 2(1/2)^6 + 7(1/2) Step 2: Simplify powers = 1 - 1/32 + 2/64 + 7/2 = 1 - 1/32 + 1/32 + 7/2 Step 3: Cancel the middle terms = 1 + 7/2 = 9/2 Answer: 9/2 or 4 1…

Card 2Zero of a polynomial

Evaluate: 5x^3 + 3x^2 - 4x - 4 for x = 1.

Answer

Step 1: Substitute x = 1 5(1)^3 + 3(1)^2 - 4(1) - 4 Step 2: Simplify = 5 + 3 - 4 - 4 = 0 Answer: 0…

Card 3Zero of a polynomial

Is x = -1 a zero of x^3 + 3x^2 + 3x + 2? Show the check.

Answer

Step 1: Substitute x = -1 (-1)^3 + 3(-1)^2 + 3(-1) + 2 Step 2: Simplify = -1 + 3 - 3 + 2 = 1 Step 3: Compare with 0 1 is not 0 Answer: x = -1 is not a zero of the polynomial.

Card 4Zero of a polynomial

Is x = 1 a zero of x^4 - 4x^3 + 6x^2 - 4x + 1? Show the check.

Answer

Step 1: Substitute x = 1 (1)^4 - 4(1)^3 + 6(1)^2 - 4(1) + 1 Step 2: Simplify = 1 - 4 + 6 - 4 + 1 = 0 Answer: Yes, x = 1 is a zero of the polynomial.

Card 5Like terms

Add the like terms: 2x + 3x.

Answer

Use the sum of like terms: 2x + 3x = (2 + 3)x = 5x Answer: 5x…

Card 6Like terms

Find the result of 9x^2y^2 - 5x^2y^2.

Answer

Use the difference of like terms: 9x^2y^2 - 5x^2y^2 = (9 - 5)x^2y^2 = 4x^2y^2 Answer: 4x^2y^2…

Card 7Addition of polynomials

Add the polynomials: -3x + 4 and 2x^2 - 7x - 2.

Answer

Step 1: Group like terms (-3x + 4) + (2x^2 - 7x - 2) Step 2: Combine like terms = 2x^2 + (-3x - 7x) + (4 - 2) = 2x^2 - 10x + 2 Answer: 2x^2 - 10x + 2…

Card 8Addition of polynomials

Add: 5x + 3y - 3/4 and -2x + y + 7/4.

Answer

Step 1: Group like terms (5x - 2x) + (3y + y) + (-3/4 + 7/4) Step 2: Combine = 3x + 4y + 4/4 = 3x + 4y + 1 Answer: 3x + 4y + 1…

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Frequently Asked Questions

What are the important topics in Algebraic Expressions And Polynomials for NIOS Class 10 Maths?
Key topics in Algebraic Expressions And Polynomials include Basic Algebraic Ideas, Algebraic Expressions and Polynomials, Like Terms, Unlike Terms, and Degree, Evaluation and Zero of a Polynomial. Study these first, then practise questions on each for the NIOS Class 10 board exam.
How many flashcards are available for Algebraic Expressions And Polynomials?
There are 26 flashcards for Algebraic Expressions And Polynomials covering key definitions, facts and ideas. A few sample cards are shown on this page.
How should I revise Algebraic Expressions And Polynomials for the NIOS Class 10 board exam?
Learn the core ideas first, then work through the 30 practice questions on Algebraic Expressions And Polynomials. Revise definitions regularly and use flashcards for quick recall before the exam.

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