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Byju's Answer

Standard VI

Mathematics

Subtraction of Polynomials

What is the v...

Question

What is the value of a if the degree of the polynomial $x^{2} + x^{a - 2} + x y + x y^{2} + 3$ is 4?

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Solution

The correct option is C 6
The degree of a polynomial is the highest degree of its terms. The degree of a term is the sum of the exponents of the variables that appear in it.
Since the degree of the polynomial is 4,
a - 2 = 4, a = 4 + 2 = 6

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Similar questions

What is the value of a is degree of polynomial X ^ 3 + X ^ a - 4 + X ^ 2 + 1 is 4

If the degree of the polynomial $x^{a}$ + $x^{2}$ + $1$ is 2, what can be said about $^{'} a^{'}$ ?

Q. The degree of the polynomial 4

x^{2} y^{3}

x y^{3}

x^{2} y

is .

Q. Solve the following:

(a) Write the polynomial

x^{2} - 3 x + 2

as a product of two first degree polynomials.
(b) What is the maximum value of

k

if the polynomial

x^{2} - 3 x + k

can be written as the product of two first degree polynomials.

Write the correct alternative answer for each of the following questions.

(i) Which of the following is a polynomial ?
(A)

\frac{x}{y}

(B)

x^{\sqrt{2}} - 3 x

(C)

x^{- 2} + 7

(D)

\sqrt{2} x^{2} + \frac{1}{2}

(ii) What is the degree of the polynomial

\sqrt{7}

?
(A)

\frac{1}{2}

(B) 5 (C) 2 (D) 0

(iii) What is the degree of the 0 polynomial ?

(A) 0 (B) 1 (C) undefined (D) any real number

(iv) What is the degree of the polynomial 2x²+ 5x³+ 7?
(A) 3 (B) 2 (C) 5 (D) 7

(v) What is the coefficient form of

x^{3} - 1

?
(A) (1,

-

1) (B) (3,

-

1) (C) (1, 0, 0,

-

1) (D) (1, 3,

-

1)

(vi)

p (x) = x^{2} - 7 \sqrt{7} x + 3

then

p (7 \sqrt{7}) = ?

(A) 3 (B)

7 \sqrt{7}

(C)

42 \sqrt{7} + 3

(D)

49 \sqrt{7}

(vii) When

x = - 1

, what is the value of the polynomial 2x³+ 2x ?
(A) 4 (B) 2 (C)

- 2

(D)

- 4

(viii) If

x - 1

, what is a factor of the polynomial

3 x^{2} + m x

then find the value of m.
(A) 2 (B)

-

2 (C)

- 3

(D) 3

(ix) Multiply ( x²

-

3) (2x

-

7x³+ 4) and write the degree of the product.
(A) 5 (B) 3 (C) 2 (D) 0

(x) Which of the following is a linear polynomial ?

(A) x + 5

(B) x²+ 5

(D) x⁴ + 5

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What is the value of a if the degree of the polynomial x2+xa−2+xy+xy2+3 is 4?

The correct option is C 6The degree of a polynomial is the highest degree of its terms. The degree of a term is the sum of the exponents of the variables that appear in it. Since the degree of the polynomial is 4, a - 2 = 4, a = 4 + 2 = 6

What is the value of a if the degree of the polynomial $x^{2} + x^{a - 2} + x y + x y^{2} + 3$ is 4?

The correct option is C 6
The degree of a polynomial is the highest degree of its terms. The degree of a term is the sum of the exponents of the variables that appear in it.
Since the degree of the polynomial is 4,
a - 2 = 4, a = 4 + 2 = 6