Quadratic polynomial of the following is

a) 3x-8
b) x²+3x-9
c) x³+5x²-4x+2
d) 5x⁴-6x+12​

SOLUTION

TO CHOOSE THE CORRECT OPTION

Quadratic polynomial of the following is

a) 3x-8

b) x²+3x-9

c) x³+5x²-4x+2

d) 5x⁴-6x+12

CONCEPT TO BE IMPLEMENTED

POLYNOMIAL

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

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

QUADRATIC POLYNOMIAL

A polynomial with degree 2 is called quadratic polynomial

EVALUATION

CHECKING FOR OPTION (a)

Here the given polynomial is 3x – 8

Since the highest power of its variable that appears with nonzero coefficient is 1

So the polynomial is not quadratic polynomial

CHECKING FOR OPTION (b)

Here the given polynomial is x² + 3x – 9

Since the highest power of its variable that appears with nonzero coefficient is 2

So the polynomial is a quadratic polynomial

CHECKING FOR OPTION (c)

Here the given polynomial is x³+5x²-4x+2

Since the highest power of its variable that appears with nonzero coefficient is 3

So the polynomial is not quadratic polynomial

CHECKING FOR OPTION (d)

Here the given polynomial is 5x⁴-6x+12

Since the highest power of its variable that appears with nonzero coefficient is 4

So the polynomial is not quadratic polynomial

FINAL ANSWER

Hence the correct option is

[tex] \sf{b) \: \: {x}^{2} + 3x – 9}[/tex]

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