Question

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​

Answer 1

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