6( i) Write down the degree of the polynomials Smºn-3mn 247mm.
ii) Write down the numeral and literal co-efficient of the monomial 27x y z
Answers
In an algebraic expression, if the powers of the variables are whole numbers then the algebraic expression is a polynomial.
Step-by-step explanation:
stion 1:
State whether the given algebraic expressions are polynomials? Justify.
(i) y + 1y (ii) 2 − 5 x−−√ (iii) x2 + 7x + 9 (iv) 2m−2 + 7m − 5 (v) 10
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