Classification of Polynomials According to Their Degree

Q. In the question, a statement of assertion(A) is followed by a statement of reason (R) . Mark the correct choice:

Assertion: 𝐏(𝐱) = 𝐱${}^2$ − 𝐱 + 𝟑 is a quadratic polynomial.
Reason: 𝐱 + 𝟑 is not a linear polynomial.

1. The assertion is false, but the reason is true.
   
2. Both assertion and reason are true, and the reason is the correct explanation of assertion.
   
3. Both assertion and reason are true, but the reason is not the correct explanation of assertion.
   
4. The assertion is true, but the reason is false.
   

Q.

A polynomial of degree 3 is called a __ polynomial

Q.

A polynomial of degree 1 is called a __ polynomial.

Q.

If $A=x^3,B=4x^2+x-1,C=x+1$, then find (A-B)(A-C)

1. $x^6-4x^5+2x^4-3x^3+5$
   

2. $x^6+4x^5-2x^4+4x^3+5x^2-1$
   

3. $x^6-4x^5-2x^4$
   

4. $x^6-4x^5-2x^4+4x^3+5x^2-1$

Q.

What kind of function is f(x) =3x?

1. Cubic Function

2. Linear Function

3. Quadratic Function

4. Exponential

Q.

A polynomial of degree ___ is called quadratic polynomial

1. 1

2. -1

3. 2

4. 0

Q. Which of the following correctly represents the given polynomial?

$(x^2+9)$

1. Quadratic Binomial
2. Quadratic Trinomial
3. Cubic Binomial
4. Linear Binomial

Q. Which of the following is a cubic polynomial?

1. $4x^4+5x^3+2x^2+9x+6$
2. $2x+5$
3. $2x^2+9x+6$
4. $5x^3+2x^2+9x+6$

Q. Which of the following is a linear polynomial?

1. $2x+5$
2. $2x^2+9x+6$
3. $5x^3+2x^2+9x+6$
4. $4x^4+5x^3+2x^2+9x+6$

Q. Which of the following is a cubic monomial?

1. $x+5$
2. $4x^3+2x+6$
3. $9x^3$
4. $2x^2+2x+7$