Polynomials — Practice Quiz
Telangana Board · Class 10 · Mathematics
Try a 4-question quiz on Polynomials for Telangana Board Class 10 Mathematics: tap an answer to check it and see why.
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Quick Quiz: Polynomials
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What is the degree of the polynomial 3x² - 5x⁴ + 2x + 7?
If p(x) = x² - 4x + 3, find p(2).
Find the zeroes of p(x) = x² - 5x + 6.
What type of polynomial is 4x³ - 2x + 1?
Sample Questions
Which of the following are polynomials?
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2x³ + 3x - 1, 5x² - 2x + 7, x⁴ - 2x³ + x
Polynomials contain only non-negative integer powers of variables. Options with 1/x, √x are not polynomials as they contain negative or fractional powers.
Which of the following statements are true for the polynomial x² - 7x + 12?
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It is a quadratic polynomial, Its degree is 2, It has zeroes 3 and 4
x² - 7x + 12 = (x - 3)(x - 4), so it's quadratic (degree 2) with zeroes 3 and 4. The constant term is 12, not 7.
If α and β are zeroes of x² - 3x + 2, find α + β.
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3
For quadratic ax² + bx + c, sum of zeroes = -b/a. Here a = 1, b = -3, so α + β = -(-3)/1 = 3.
The coefficient of x² in the polynomial 5x³ - 2x² + 4x - 1 is:
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-2
The coefficient of x² is the number multiplying x². In 5x³ - 2x² + 4x - 1, the term with x² is -2x², so the coefficient is -2.
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