Question

the degree of [ - 1/20 x*4 y*3 ] × (-5x *7 y *2) is.

option

(a) 11
(b) 5
(c) 16
(d) 6

AMONG THE FOUR WHICH IS CORRECT AND PLEASE EXPLAIN ME TODAY PLZZ


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Answer 1

Answer:

Step-by-step explanation:  4x2 – 3x + 7

               ⇒ 4x2 – 3x + 7x°

               ∵ All the exponents of x are whole numbers.

               ∴ 4x2 – 3x + 7 is a polynomial in one variable.

        (ii)    

                 

               ∵ All the exponents of y are whole numbers.

               ∴  is a polynomial in one variable.

         

         

        (v)   x10 + y3 + t50

               ∵; Exponent of every variable is a whole number,

               ∴ x10 + y3 + t50 is a polynomial in x, y and t, i.e. in three variables.

Answer 2

The correct answer is Option 'A', i.e. the degree of the given polynomial is 11.

Given:-

p(x) =

$(\frac{ - 1 \times {x}^{4} {y}^{3} }{20} ) \: \times ( - 5 {x}^{7} {y}^{2} )$

To Find:-

The degree of the polynomial.

Solution:-

Degree generally refers to the highest power of the polynomial. So, for finding the degree of the given polynomial, we have to find its highest power by solving the polynomial.

p(x) =

$( - \frac{1 \times {x}^{4} {y}^{3} }{20} ) \: \times \: ( - 5 {x}^{7} {y}^{2} )$

After multiplying both the terms of the polynomial, we get:-

p(x) =

$( + \frac{5 \times {x}^{(4 + 7)} {y}^{(3 + 2)} }{20} )$

p(x) =

$\frac{1 \times {x}^{11} {y}^{5} }{4}$

p(x) =

$\frac{ {x}^{11} {y}^{5} }{4}$

So, the highest power of the polynomial is 11.

Therefore, the degree of the given polynomial is 11.

Hence, the correct answer is Option 'A', i.e. the degree of the given polynomial is 11.

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