Select the values which the coefficients and exponents of a polynomial can take- -Options are given nbsp-by comma separating them in the form - -coefficient-exponent- No4- -20-0-5- -5

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Polynomial

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Question

Select the values which the coefficients and exponents of a polynomial can take? (Options are given by comma separating them in the form - (coefficient,exponent))

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4, -2

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0,0

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-5, -5

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Solution

The correct options are
A No
C 0,0
Any real number can be a coefficient in a polynomial. Thus, rational and irrational numbers are valid coefficients.
Exponents in polynomials can only be whole numbers.

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ii) 3 {(y + 2)}^{2} - 5 y (y^{2} + \frac{2}{y}) + y^{3} = 3 (y^{2} + 4 y + 4) - 5 y^{3} - 10 + y^{3} = 3 y^{2} + 12 y + 12 - 4 y^{3} - 10 = - 4 y + 3 y^{2} + 12 y + 2 In this reduced form of given polynomial, we have : Constant term = 2 Term with the highest exponent = - 4 y^{3} So, coefficient of the variable having the highest exponent = 4 Hard

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Select the values which the coefficients and exponents of a polynomial can take? (Options are given by comma separating them in the form - (coefficient,exponent))

The correct options are A No C 0,0Any real number can be a coefficient in a polynomial. Thus, rational and irrational numbers are valid coefficients. Exponents in polynomials can only be whole numbers.

The correct options are
A No
C 0,0
Any real number can be a coefficient in a polynomial. Thus, rational and irrational numbers are valid coefficients.
Exponents in polynomials can only be whole numbers.