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
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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