Question

Verify and identify the property illustrated in the following statement. (5/4) × [ (4/3) + (-6/5)] = [ (5/4)×(4/3) ] + [ (5/4) × (-6/5) ] *
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Answer 1

Answer:

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Page No 39:

Question 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

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).

Step-by-step explanation:

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