Write suitable algebraic expressions for each of the following:
(i) Quotient of m by 7 is added to n.
(ii) The product of 8 and p is subtracted from the sum of 40 and q..
Answers
Step-by-step explanation:
Page No 39:
Question 1:
State whether the given algebraic expressions are polynomials? Justify.
(i) y +
1
y
(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+
1
y
=y+y-1
Here, one of the powers of y is −1, which is not a whole number. So, y +
1
y
is not a polynomial.
(ii)
2 - 5
√
x
=2-5x
1
2
Here, the power of x is
1
2
, 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).
Answer:
m/7+n
40+q – 8p
two statements