Question

(iv) बहुपद 4x2 + 5x3 + 2x + 1 की घात है​

Answer 1

15+8-15

14+15-8

29-8

=21

Answer 2

SOLUTION

TO DETERMINE

The degree of the polynomial

$\sf{4 {x}^{2} + 5 {x}^{3} + 2x + 1 }$

CONCEPT TO BE IMPLEMENTED

Polynomial is a mathematical expression consisting of variables, constants that can be combined using mathematical operations addition, subtraction, multiplication and whole number exponentiation of variables

Degree of a polynomial is defined as the highest power of its variable that appears with nonzero coefficient

EVALUATION

Here the given polynomial is

$\sf{4 {x}^{2} + 5 {x}^{3} + 2x + 1 }$

Which can be rewritten as

$\sf{ 5 {x}^{3} + 4 {x}^{2} + 2x + 1 }$

So the variable is x and the highest power of its variable that appears with nonzero coefficient is 3

Hence the required degree of the polynomial = 3

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