Question

Consider the following two statements
Statement-1 : A polynomial of three terms is called trinomial.
Statement-2 : A polynomial of degree three is called a quadratic polynomial.
Which of the following is true?

• A. Statement 1 is true and Statement 2 is false.
• B. Statement 1 is false and Statement 2 is true.
• C. both the Statements 1 and 2 are true.
• D. both the Statements 1 and 2 are false.

Answer 1

The correct option is A

Statement 1 is true and Statement 2 is false.

Explanation of statement 1:

Trinomial - A polynomial of three terms is called a trinomial.

Let us take an example,

$f\left(x\right)=3x+4y+7$ , it has three terms which are $3x,4y$and $7$

Thus it is trinomial.

So, Statement -1 is true

Explanation of statement 2:

Quadratic polynomial - A polynomial of degree two is called a quadratic polynomial.

Let $g\left(x\right)=x^2-4x+4$ , its degree is two

Thus, it is a quadratic polynomial.

So, statement - 2 is false.

Hence, the correct answer is (A) Statement 1 is true and Statement 2 is false.