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Mathematics
7. Polynomial
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Q6 of 82 Page 117

I write two separate monomials in one variable whose degrees are 4.

(Note: The degree is the value of the greatest (highest) exponent of any expression (except the constant) in the polynomial. To find the degree all that you have to do is find the largest exponent in the polynomial).

(Monomial means the polynomial will have one term and degree =4 means that highest power should be 4).


∴ First binomial: xy3


Second Binomial=x4


More from this chapter

All 82 →
4

I write the degree of each of the following polynomials:

(i) x4 + 2x3 + x2 + x


(ii) 7x – 5


(iii) 16


(iv) 2 – y – y3


(v) 7t


(vi) 5 – x2 + x19

5

I write two separate binomials in one variable whose degrees are 17.

7

I write two separate trinomials in one variable whose degrees are 3.

8

In the following algebraic expressions, which are polynomials in one variable, which are polynomials in two variables and which are not polynomials —Let us write them.

(i) x2 + 3x + 2


(ii) x2 + y2 + a2


(iii) y2 – 4ax


(iv) x + y + 2


(v) x8 + y4 + x5y9


(vi)

Questions · 82
7. Polynomial
1 2 3 4 5 6 7 8 1 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 1 1 1 1 2 2 2 2 3 3 4 5 6 7 8 9 10 11 11 11 11 11 12 12 12 12 1 1 1 1 1 1 2 2 2 2 3 4 4 4 4 5 6 7 8 9 10 11 11 11 11 11 12 12 12 12 12
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