Question

Find the product of the following polynomials.
(i)3x2+5x; x++ 2x +1. (ii) x-1; x2 - x + 4
​

Answer 1

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).

Step-by-step explanation:

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