You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IX

Mathematics

Degree of a Polynomial

When you mult...

Question

When you multiply a polynomial of degree 2 by a polynomial of degree 4, what is the degree of the product?

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A 6
The degree of a polynomial refers to the term with the highest exponent.

Thus the highest exponent in a degree 2 polynomial is x² and for a degree 4 polynomial, it is x⁴.

On multiplying, we get,
x² × x⁴ = x^{2 + 4} = x⁶.

So, the product of a degree 2 polynomial and a degree 4 polynomial is a degree 6 polynomial.

Suggest Corrections

Similar questions

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

Q. What is the degree of the remainder atmost, when a fourth degree polynomial is divided by a quadratic polynomial?

Q. A polynomial of degree 3 is divided by degree 2. What is the degree of the quotient?

Q. if a polynomial of degree 6 is divided by a polynomial of degree 2 then the degree of the quotient is?

Q. A polynomial of degree 2 can be divided by a polynomial of degree 3.

Join BYJU'S Learning Program