Degree of a Polynomial

Q.

write the degree of zero polynomial?

Q. The degree of the polynomial $(x+1)(x^2-x-x^4+1)$ is

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

Q.

what is the difference between zero polynomial and zero of polynomial

Q. Given that ‘$n$’ is a variable and ‘$a$’, ‘$b$’ , ‘$c$’ are constants, choose the correct option:
$\begin{array}{cccc}1.& an+b& A.& \text{Constant}\\ 2.& a{n}^2+bn+c& B.& \text{Quadratic expression}\\ 3.& a& C.& \text{Linear expression}\end{array}$

1. 1 - B, 2 - A, 3 - C
2. 1 - C, 2 - B, 3 - A
3. 1 - A, 2 - C, 3 - B
4. 1 - A, 2 - B, 3 - C

Q. Find all the zeros of the polynomial 2x³ + x² − 6x − 3, if two of its zeros are $-\sqrt{3}\mathrm{and}\sqrt{3}$.

Q. Question 3
For the polynomial
$\frac{x^3+2x+1}{5}-\frac{7}{2}{x}^2-x^6$, write

(i) The degree of the polynomial

(ii) The coefficient of $x^3$

(iii) The coefficient of $x^6$

(iv) The constant term

Q. If a quadratic polynomial f(x) is a square of a linear polynomial, then its two zeros are coincident. (True/False).

Q. If alpha and beta order zeros of polynomial 2 X square + 3 X + 5 then find the value of alpha + beta divided by Alpha into beta

Q. The value of p for which the polynomial x³ + 4x² − px + 8 is exactly divisible by (x−2) is

(a) 0

(b) 3

(c) 5

(d) 16

Q. Find the zeroes of the following polynomials by factorisation method and verify the relations between the zeroes and the coefficients of the polynomial y^2+3/2 under root 5y -5

Q. Find all the zeros of the polynomial x³ + 3x² − 2x − 6, if two of its zeros are $-\sqrt{2}\mathrm{and}\sqrt{2}$.

Q.

What is the degree of the polynomial p(x):

$p\left(x\right)=a{x}^4+b{x}^3+c{x}^2+dx+e$, given $\frac{a}{b}$ = 0, b $\ne$ 0

1. 2

2. 3

3. 1

4. 5

Q. Degree of a quadratic polynomial is ____.

1. 1
2. 3
3. 2
4. 0

Q. Give an example of polynomials f(x), g(x), q(x) and r(x) satisfying f(x) = g(x), q(x) + r(x), where degree r(x) = 0.

Q.

Find the zeroes of the polynomial 3x^2-3√3+2 using middle term split

I don't think more information is needed

Q. For what value of k, is −3 a zero of the polynomial x² + 11x + k?

Q.

1. True
2. False

Q. 62.Find the zeros of the following polynomial by factorization method and verify the relation between the zeros and the coefficients of the polynomial first 4 x square + 5 root 2 X -3,

Q.

Question 99(iii)

Find the value of x, so that:
$(2^{-1}+4^{-1}+6^{-1}+8^{-1}{)}^x=1$

Q.

zero of the zero degree polynomial is

1. 1

2. 0

3. Any real number

4. not defined

Q.

Degree of zero polynomial is

1. $0$

2. $1$

3. Any natural number.

4. Not define.

Q.

How many zeroes a polynomial of degree x have

Q.

Why the degree of zero polynomial is undefined?

Q. Assertion :Degree of a zero polynomial is not defined. Reason: Degree of a non-zero constant polynomial is $0$

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
2. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
3. Assertion is correct but Reason is incorrect
4. Assertion is incorrect but Reason is correct

Q.

The degree of the sum of two polynomials each of degree 5 is always 5.

1. True

2. False

Q. Which among the given options is one of the factors of
$x^2+\frac{x}{6}-\frac{1}{6}$?

1. $3x+1$
2. $2x+1$
3. $x-\frac{1}{5}$
4. $x-\frac{1}{2}$

Q.

The three zeroes of the polynomial 2x³ + 5x² - 28x - 15 _____

1. Are all Integers

2. Are all rational numbers

3. Are all Natural numbers

4. All three are not real numbers

Q.

Degree of a constant polynomial is _____.

1. 1

2. 0

3. Any natural number

4. Not defined

Q. If the polynomial f(x) = ax³ + bx − c is divisible by the polynomial g(x) = x² + bx + c, then ab =

(a) 1
(b) $\frac{1}{c}$
(c) −1
(d) $-\frac{1}{c}$

Q. For what value of k, is −2 a zero of the polynomial 3x² + 4x + 2k?