Question

1. In the standard form of quadratic polynomial, ax^2+bx+c, a, b and c are
a) All are Polynomials.b) 'a' is a non zero real number and band e are any Polynomials. c)all are rational numbers d)all are integers​

Answer 1

Answer:

d ) all are integers

option d is correct

Answer 2

In the standard form of quadratic polynomial, ax² + bx + c , a, b and c are ‘a’ is a non zero real number and b and c are any real numbers.

Given :

The standard form of quadratic polynomial, ax² + bx + c

To find : a , b , c are

a) All are real numbers.

b) All are rational numbers.

c) ‘a’ is a non zero real number and b and c are any real numbers.

d) All are integers.

Solution :

Step 1 of 2 :

Write down the general equation of a quadratic polynomial

The standard form of quadratic polynomial is ax² + bx + c

Step 2 of 2 :

Find the condition of a , b , c

In the standard form of quadratic polynomial is ax² + bx + c

x be the variable involved

Since it is a quadratic polynomial

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

Because it is a quadratic polynomial

So coefficient of x² is non zero

It is a real polynomial

So a , b , c are all real numbers

Hence the correct option is

c) ‘a’ is a non zero real number and b and c are any real numbers.

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