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Definition and Degree of polynomial...

Definition and Degree of polynomial

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Definition and Degree of Polynomial

You need to understand the concept of a polynomial expression. Well, in polynomial expression, the degree of polynomial happens to be the highest degree. It is the sum of the several terms where different powers of the same variables are contained. For example 6x4 + 2x3+ 3. It is the highest exponential power in the polynomial that is indicated in the degree where the coefficients are ignored.

When it comes to the degree of the polynomial in case of 6x4 + 2x3+ 3, it is 4.

Now let us take another example: 4x8 + 3x3 + 5x + 1

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Knowledge Check

  • Degree of zero polynomial is

    A
    0
    B
    1
    C
    any real number
    D
    not defined
  • If the degree of a polynomial AB is 15 and the degree of polynomial B is 5, then the degree of polynomial A is

    A
    3
    B
    8
    C
    4
    D
    10
  • Assertion : The degree of the polynomial (x-2)(x-3)(x+4) is 4 . Reason : The number of zeroes of a polynomial is the degree of that polynomial .

    A
    If both assertion and reason are true and reason is the correct explanation of assertion .
    B
    If both assertion and reason are true but reason is not the correct explanation of assertion .
    C
    If assertion is true but reason is false .
    D
    If assertion is false but reason is true .
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