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Grade 7 - Mathematics
2.11 Degree of a Polynomial

Definition: In general, axn+bxn-1+.............+px+q (a is not equal to zero) is called a polynomial of degree n. Here the coefficients are either integers, rationals or both.

Expression Polynomial Degree and number of terms
9 yes 0 degree monomial
2x2 + x - 5 Yes 2nd degree trinomial
12k6 - 7t No, variable exponent
x-2-6 No, negative exponent
3ab4 + 5a2c2 5 5th degree binomial

Example: 3x2+9x3+6x5, find the degree of the polynomial.

Solution: The degree of terms in the above equation are 2, 3, 5 respectively. The greatest among these is 5. Hence the given polynomial is of degree 5.


Directions: Find the degrees of polynomials for the following problems. Also write at least 10 examples of polynomials and their degrees.
Q 1: 3x2+9x3+7x4 find the degree of polynomial.
Answer:

Q 2: 4x2+7x3+9x find the degree of polynomial.
Answer:

Q 3: 4x3+9x2+7x5 find the degree of polynomial.
Answer:

Q 4: 3x2+7x3+9x find the degree of polynomial.
Answer:

Q 5: 3x5+7x9+7x find the degree of polynomial.
Answer:

Q 6: 9x3+7x5+x15 find the degree of polynomial.
Answer:

Q 7: 3x3+9x+7x5 find the degree of polynomial.
Answer:

Q 8: 6x2+9x+7x16 find the degree of polynomial.
Answer:

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!


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