Math, asked by raja111421, 9 months ago

classify the following polynomials based on their degree:

(i0√4z+5 (ii) z³-z²+3 (iii)√5 (iv) y²-√8

classify the following polynomials based on their degree:

(i0√4z+5 (ii) z³-z²+3 (iii)√5 (iv) y²-√8​

Answers

Answered by imrinku2004
12

Answer:

In an algebraic expression, if the powers of the variables are whole numbers then the algebraic expression is a polynomial.

(i) y+1y=y+y-1

Here, one of the powers of y is −1, which is not a whole number. So, y + 1y

is not a polynomial.

(ii) 2 - 5 √x=2-5x12

Here, the power of x is 12

, which is not a whole number. So, 2 - 5 √x

is not a polynomial.

(iii)x2 + 7x + 9

Here, the powers of the variable x are 2, 1 and 0, which are whole numbers. So, x2 + 7x + 9 is a polynomial.

(iv)2m-2 + 7m - 5

Here, one of the powers of m is −2, which is not a whole number. So, 2m-2 + 7m - 5 is not a polynomial.

(v)10 = 10 × 1 = 10x0

Here, the power of x is 0, which is a whole numbers. So, 10 is a polynomial (or constant polynomial).

(i)Coefficient of m3 = 1

(ii)-3 2 + m - √3m3

Coefficient of m3 = -√3

(iii)-23m3 - 5m2 + 7m - 1

Coefficient of m3 = -23

Step-by-step explanation:

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