Degree of the Polynomial

Q.

$\sqrt{5}$ is a polynomial of degree

___

Q.

Degree of the polynomial p(x) = 4x⁴ + 2x³ + x⁵ + 2x + 7 is:

1. 3

2. 4

3. 7

4. 5

Q. Which of the following is not a polynomial?

1. $5x+10$
2. $\frac{2}{x}+2$
3. $2x^2+2x+6$
4. $x^3+9$

Q. The degree of the polynomial f(x, y, z) =\sqrt2 x^3y^4z+3x^5y^2z^3+4xyz is

Q.

Write the degree of the following polynomial:

$\left(y^3-2\right)\left(y^2+11\right)$

Q.

Degree of zero polynomials zero

1. True
2. False

Q.

Name degree of polynomial - -3x + 2

Q. If p = 9 then find the degree of the polynomial:
f(x)= (x-p) ^3 + 729
Please answer

Regards

Q. Question 2
$2\sqrt{2}$ is a polynomial of degree

A) 2
B) 0
C) 1
D) $\frac{1}{2}$

Q. if f(x) be a polynomial of degree four such that f(-1) = -1 , f(2) = -4 , f(-3) = -9 and f(4) = -16 , then find the f(1) .

Q. Write the degree of the polynomial for each of the following.

Q. If the degree of a polynomial is 3, then what is it called?

1. Cubic
2. Monomial
3. Linear
4. Quadratic

Q. What is the degree of the given polynomial?

$2x^3+4x^2+5$

1. 3
2. 5
3. 4
4. 2

Q.

Write the degree of each:

1. Term
2. Polynomial

$3x^2$

Q. $\sqrt{3}$ is a polynomial of degree ___ .

1. $\frac{1}{3}$
2. 1
3. 0
4. 3

Q. Write the degrees of each of the following polynomials:

(i) 7x³ + 4x² − 3x + 12

(ii) 12 − x + 2x³

(iii) $5y-\sqrt{2}$

(iv) 7

(v) 0

Q.

Identify the polynomial and mention their degrees.

$x^7+6x^5+4x^3+10$

Q.

Identify the polynomial and mention their degrees.

$x^9-1$

Q. $p\left(x\right)$ is a polynomial of degree 1 and $q\left(x\right)$ is a polynomial of degree 2 . What kind of the polynomial $p\left(x\right)\times q\left(x\right)$ is ?

Q. The degree of the polynomial
5$x^4$+9$x^3$+2$x^2$+6 is .

1. 4
2. 3
3. 2
4. \N

Q.

Find the degree

1) x⁴/4 -x³+2√2x+3

2) 1/x²(x³​​​​​-x⁴+x⁸⁾

Q. Write the degree of the given polynomials.

(i) $\sqrt{5}$ (ii)$x^{°}$ (iii) $x^2$ (iv) $\sqrt{2}{m}^{10}-7$ (v) $2p-\sqrt{7}$ (vi) $7y-y^3+y^5$ (vii) $xyz+xy-z$ (viii) $m^3{n}^7-3m^{5}n+mn$

Q.

Write the degree of each of the following polynomials:

(i) (ii)

(iii) (iv) 3

Q. $\sqrt{3}$ is a polynomial of degree ___ .

1. 3
2. 0
3. 1
4. $\frac{1}{3}$

Q.

How to find the degree of a polynomial with two variables.

Eg-x²+y⁵+7

Q. The degree of the polynomial $5x^3-6x^{3}y+4y^2-8$ is

1. $4$
2. $2$
3. can't be determined
4. $3$

Q. Find the product of the following polynomials and state the degree of their product.

(i) x² + 3x + 1; 2x $-$ 3
(ii) 3x² + 5x ; x² + 2x + 1
(iii) x³ + 4x + 2 ; x² + x + 5
(iv) x³ $-$ 1 ; x² $-$ x + 4
(v) 2y² + 3 ; 3y³ + 1

Q. $\sqrt{3}$ is a polynomial of degree ___ .

1. $\frac{1}{3}$
2. 3
3. 0
4. 1

Q. $\sqrt{3}$ is a polynomial of degree ___ .

1. 3
2. $\frac{1}{3}$
3. 1
4. 0

Q. Write the degree of each of the following polynomials:
(i) $2x-\sqrt{5}$
(ii) 3 − x + x²− 6x³
(iii) 9
(iv) 8x⁴ − 36x + 5x⁷
(v) x⁹ − x⁵ + 3x¹⁰ + 8
(vi) 2 − 3x²