Question

Write the degree of each of the following polynomials.
(i) 5x3+4x2 + 7x
(ii) 4 – y2
(iii) 5t – √7
(iv) 3

Need Explanation of the answer!​

Answer 1

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(i) The given polynomial is 5x³ + 4x² + 7x.

The highest power of the variable x is 3.

So, the degree of the polynomial is 3.

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(ii) The given polynomial is 4- y². The highest

power of the variable y is 2.

So, the degree of the polynomial is 2.

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(iii) The given polynomial is 5t – √7 . The highest power of variable t is 1. So, the degree of the polynomial is 1.

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(iv) Since, 3 = 3x° [∵ x°=1]

So, the degree of the polynomial is 0.

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Answer 2

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1)5x³+ 4x² + 7x

• The largest term is 5x3 and degree is 3 .

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2) 4 - y²

• The largest term is y2and degree is

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3) 5t - √7

• The largest term is 5t and degree is 1 .

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4) 3

• The largest term is 3 and degree is 0

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◇Degree of polynomial:

• A polynomial’s degree is the highest or the greatest power of a variable in a polynomial equation.

• The degree indicates the highest exponential power in the polynomial (ignoring the coefficients)

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◇Example:

• 6x⁴ + 2x³+ 3 is a polynomial.  Here 6x⁴, 2x³, 3 are the terms where 6x⁴ is a leading term and 3 is a constant term.

• The coefficients of the polynomial are 6 and 2.

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